768865664 has 96 divisors (see below), whose sum is σ = 1886875560. Its totient is φ = 310087680.

The previous prime is 768865651. The next prime is 768865697. The reversal of 768865664 is 466568867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103019 + ... + 110229.

Almost surely, 2^768865664 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 768865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943437780).

768865664 is an abundant number, since it is smaller than the sum of its proper divisors (1118009896).

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

768865664 is a wasteful number, since it uses less digits than its factorization.

768865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7256 (or 7237 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 56.

The square root of 768865664 is about 27728.4270019055. The cubic root of 768865664 is about 916.1153405099.

The spelling of 768865664 in words is "seven hundred sixty-eight million, eight hundred sixty-five thousand, six hundred sixty-four".