76

76 is a natural number that follows 75 and precedes 77. It is an even, composite number with prime factorization 2^2 · 19. Its positive divisors are 1, 2, 4, 19, 38, and 76, with a sum of all divisors equal to 140 and a sum of proper divisors equal to 64. Consequently, 76 is a deficient number. Its Euler totient is φ(76) = 36.

In numeral systems, 76 is written as LXXVI in Roman numerals. In binary it is 1001100, in octal 114, and in hexadecimal 4C. The decimal value 76 corresponds to the ASCII code for the uppercase letter L.

In science and culture, the number 76 appears in several contexts. Osmium, the element with atomic number 76, is a dense transition metal. The year 1776 is associated with the birth of the United States, reflected in the naming of notable entities such as the Philadelphia-based sports team the 76ers, whose name honors the year of independence, and in cultural references like the song “76 Trombones” from The Music Man. The numeric string 76 is also widely recognized in branding, such as the Union 76 gas-station mark, and in transportation, where Interstate 76 and US Route 76 are major highway designations.

In the calendar, 76 is the 76th day of the year. It falls on March 17 in common years and on March 16 in leap years. The number also appears in various mathematical and pop-cultural contexts beyond these notes.