765288264 has 64 divisors (see below), whose sum is σ = 2071016640. Its totient is φ = 234259200.

The previous prime is 765288257. The next prime is 765288281. The reversal of 765288264 is 462882567.

It is a super-2 number, since 2×765288264² = 1171332254032267392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55239 + ... + 67689.

It is an arithmetic number, because the mean of its divisors is an integer number (32359635).

Almost surely, 2^765288264 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 765288264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035508320).

765288264 is an abundant number, since it is smaller than the sum of its proper divisors (1305728376).

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

765288264 is a wasteful number, since it uses less digits than its factorization.

765288264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12670 (or 12666 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 765288264 is about 27663.8439845225. The cubic root of 765288264 is about 914.6922886581.

The spelling of 765288264 in words is "seven hundred sixty-five million, two hundred eighty-eight thousand, two hundred sixty-four".