76 (number)

76 (seventy-six) is the natural number following 75 and preceding 77.

In mathematics

76 is:

• a composite number; a square-prime, of the form (p², q) where q is a higher prime. It is the ninth of this general form and the seventh of the form (2².q).

• a Lucas number.^[1]
• a telephone or involution number, the number of different ways of connecting 6 points with pairwise connections.^[2]
• a nontotient.^[3]
• a 14-gonal number.^[4]
• a centered pentagonal number.^[5]
• an Erdős–Woods number 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.^[6]
• with an
  1
  ,0) to the Prime in the 63-aliquot tree.
• an automorphic number in base 10.^[7] It is one of two 2-digit numbers whose square, 5,776, and higher powers, end in the same two digits. The other is 25.

There are 76 unique compact

• The atomic number of osmium.
• The Little Dumbbell Nebula in the constellation Pegasus is designated as Messier object 76 (M76).

In other fields

Seventy-six is also:

• In colloquial American parlance, reference to 1776, the year of the signing of the United States Declaration of Independence.
• Seventy-Six, an 1823 novel by American writer John Neal.
• The Spirit of '76, patriotic painting by
  Archibald MacNeal Willard
  .
• A brand of
  76
  .
• The number of trombonists leading the parade in "Seventy-Six Trombones", from Meredith Willson's musical The Music Man.
• The 76ers, a professional basketball team based in Philadelphia.
• 76, the debut album of Dutch trance producer and DJ Armin van Buuren.
• Years like 1876 and 1976
• Fallout 76, a 2018 game by Bethesda Studios.

See also

• List of highways numbered 76

References