76 (number)

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

In mathematics[]

76 is:

• 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]
• a automorphic number in base 10.^[7] It is one of two 2-digit numbers whose square, and higher powers, end in the same two digits. The other is 25.

In science[]

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

In other fields[]

The Bennington Flag features the number 76

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 ConocoPhillips gas stations, 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 1976 and 2076

See also[]

• List of highways numbered 76

References[]