76 is the natural number

Natural number

In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...

 following 75

75 (number)

75 is the natural number following 74 and preceding 76.-In mathematics:As the sum of the first five pentagonal numbers, seventy-five is a pentagonal pyramidal number. It is also an enneagonal number....

 and preceding 77

77 (number)

77 is the natural number following 76 and preceding 78. Seventy-seven is the smallest positive integer requiring five syllables in English.-In mathematics:...

.

In mathematics

Seventy-six is a Lucas number

Lucas number

The Lucas numbers are an integer sequence named after the mathematician François Édouard Anatole Lucas , who studied both that sequence and the closely related Fibonacci numbers...

, an automorphic number

Automorphic number

In mathematics an automorphic number is a number whose square "ends" in the same digits as number itself. For example, 52 = 25, 762 = 5776, and 8906252 = 793212890625, so 5, 76 and 890625 are all automorphic numbers.The sequence of automorphic numbers begins 1, 5, 6, 25, 76, 376, 625, 9376, .....

, a nontotient

Nontotient

In number theory, a nontotient is a positive integer n which is not in the range of Euler's totient function φ, that is, for which φ = n has no solution. In other words, n is a nontotient if there is no integer x that has exactly n coprimes below it. All odd numbers are nontotients, except 1,...

, a 14-gonal number, and a centered pentagonal number

Centered pentagonal number

A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center in successive pentagonal layers...

.

Since it is possible to find sequences of 76 consecutive integers such that each inner member shares a factor with either the first or the last member, 76 is an Erdős–Woods number

Erdos–Woods number

In number theory, an Erdős–Woods number is a positive integer that has the following property:Consider a sequence of consecutive positive integers [a, a+1, \dots, a+k]. The number k is an Erdős–Woods number if there exists such a sequence, beginning with some number a, in which each of the elements...

.

In other fields

Seventy-six is also:

• A brand of ConocoPhillips
  ConocoPhillips
  ConocoPhillips Company is an American multinational energy corporation with its headquarters located in the Energy Corridor district of Houston, Texas in the United States...
  
   gas stations, 76
  Union 76
  76 is a chain of gas stations located within the United States. The 76 brand is owned by ConocoPhillips. Union Oil Company of California, dba Unocal, the original owner and creator of the Union 76 brand merged with Chevron Corporation in 2005.In 1997, Unocal sold its western United States refining...
  
  
• The number of trombonists leading the parade in "Seventy-Six Trombones
  Seventy-Six Trombones
  Seventy-six Trombones is the signature song from the musical play The Music Man , which was written by Meredith Willson. This song also appeared in the film The Music Man , and in the made-for-TV movie adaptation in 2003...
  
  ," from Meredith Willson
  Meredith Willson
  Robert Meredith Willson was an American composer, songwriter, conductor and playwright, best known for writing the book, music and lyrics for the hit Broadway musical The Music Man...
  
  's musical The Music Man
  The Music Man
  The Music Man is a musical with book, music, and lyrics by Meredith Willson, based on a story by Willson and Franklin Lacey. The plot concerns con man Harold Hill, who poses as a boys' band organizer and leader and sells band instruments and uniforms to naive townsfolk before skipping town with...
  
  
• Municipal Okrug #76, name of Balkansky Municipal Okrug of Frunzensky District of Saint Petersburg
  Saint Petersburg
  Saint Petersburg is a city and a federal subject of Russia located on the Neva River at the head of the Gulf of Finland on the Baltic Sea...
  
  , Russia, before 2008
• The 76ers
  Philadelphia 76ers
  The Philadelphia 76ers are a professional basketball team based in Philadelphia, Pennsylvania. They play in the Atlantic Division of the Eastern Conference of the National Basketball Association . Originally known as the Syracuse Nationals, they are one of the oldest franchises in the NBA...
  
  , a professional basketball teams based in Philadelphia

See also

The I-76 western highway is mostly in Colorado

Colorado

Colorado is a U.S. state that encompasses much of the Rocky Mountains as well as the northeastern portion of the Colorado Plateau and the western edge of the Great Plains...

, and the I-76 eastern highway

Interstate 76 (east)

Interstate 76 is an Interstate Highway in the United States, running 435 miles from an interchange with Interstate 71 west of Akron, Ohio, east to Interstate 295 near Camden, New Jersey....

 is mostly in Pennsylvania

Pennsylvania

The Commonwealth of Pennsylvania is a U.S. state that is located in the Northeastern and Mid-Atlantic regions of the United States. The state borders Delaware and Maryland to the south, West Virginia to the southwest, Ohio to the west, New York and Ontario, Canada, to the north, and New Jersey to...