77256480 has 96 divisors (see below), whose sum is σ = 278135424. Its totient is φ = 17657856.

The previous prime is 77256479. The next prime is 77256559. The reversal of 77256480 is 8465277.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×77256480³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8137 + ... + 14856.

It is an arithmetic number, because the mean of its divisors is an integer number (2897244).

Almost surely, 2^77256480 is an apocalyptic number.

77256480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77256480 is an abundant number, since it is smaller than the sum of its proper divisors (200878944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77256480 is a wasteful number, since it uses less digits than its factorization.

77256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23018 (or 23010 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 77256480 is about 8789.5665422136. The cubic root of 77256480 is about 425.9039215536.

The spelling of 77256480 in words is "seventy-seven million, two hundred fifty-six thousand, four hundred eighty".