76920960 has 64 divisors (see below), whose sum is σ = 245191680. Its totient is φ = 20511744.

The previous prime is 76920959. The next prime is 76920983. The reversal of 76920960 is 6902967.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18112 + ... + 21951.

It is an arithmetic number, because the mean of its divisors is an integer number (3831120).

Almost surely, 2^76920960 is an apocalyptic number.

It is an amenable number.

76920960 is an abundant number, since it is smaller than the sum of its proper divisors (168270720).

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

76920960 is a wasteful number, since it uses less digits than its factorization.

76920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40085 (or 40073 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 76920960 is about 8770.4595090565. The cubic root of 76920960 is about 425.2864689169.

The spelling of 76920960 in words is "seventy-six million, nine hundred twenty thousand, nine hundred sixty".