765096864 has 192 divisors, whose sum is σ = 2495324160. Its totient is φ = 200309760.

The previous prime is 765096853. The next prime is 765096869. The reversal of 765096864 is 468690567.

765096864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×765096864² = 1170746422605268992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (765096869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394842 + ... + 396774.

It is an arithmetic number, because the mean of its divisors is an integer number (12996480).

Almost surely, 2^765096864 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 765096864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247662080).

765096864 is an abundant number, since it is smaller than the sum of its proper divisors (1730227296).

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

765096864 is a wasteful number, since it uses less digits than its factorization.

765096864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 765096864 is about 27660.3843791080. The cubic root of 765096864 is about 914.6160268930.

The spelling of 765096864 in words is "seven hundred sixty-five million, ninety-six thousand, eight hundred sixty-four".