815979264 has 72 divisors (see below), whose sum is σ = 2246642160. Its totient is φ = 262606848.

The previous prime is 815979193. The next prime is 815979289. The reversal of 815979264 is 462979518.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3954 + ... + 40590.

Almost surely, 2^815979264 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 815979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123321080).

815979264 is an abundant number, since it is smaller than the sum of its proper divisors (1430662896).

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

815979264 is a wasteful number, since it uses less digits than its factorization.

815979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36685 (or 36671 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 815979264 is about 28565.3507592678. The cubic root of 815979264 is about 934.4578301295.

The spelling of 815979264 in words is "eight hundred fifteen million, nine hundred seventy-nine thousand, two hundred sixty-four".