768786784560 has 120 divisors (see below), whose sum is σ = 2597302824480. Its totient is φ = 203782173696.

The previous prime is 768786784543. The next prime is 768786784627. The reversal of 768786784560 is 65487687867.

768786784560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×768786784560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3076645 + ... + 3317124.

It is an arithmetic number, because the mean of its divisors is an integer number (21644190204).

Almost surely, 2^768786784560 is an apocalyptic number.

It is an amenable number.

768786784560 is an abundant number, since it is smaller than the sum of its proper divisors (1828516039920).

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

768786784560 is a wasteful number, since it uses less digits than its factorization.

768786784560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393955 (or 6393946 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 768786784560 in words is "seven hundred sixty-eight billion, seven hundred eighty-six million, seven hundred eighty-four thousand, five hundred sixty".