768959664 has 80 divisors (see below), whose sum is σ = 2176420224. Its totient is φ = 232012800.

The previous prime is 768959593. The next prime is 768959699. The reversal of 768959664 is 466959867.

768959664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 768959598 and 768959607.

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, 124227 + ... + 130269.

Almost surely, 2^768959664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768959664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088210112).

768959664 is an abundant number, since it is smaller than the sum of its proper divisors (1407460560).

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

768959664 is a wasteful number, since it uses less digits than its factorization.

768959664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6300 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The square root of 768959664 is about 27730.1219615060. The cubic root of 768959664 is about 916.1526731402.

The spelling of 768959664 in words is "seven hundred sixty-eight million, nine hundred fifty-nine thousand, six hundred sixty-four".