791882304 has 168 divisors, whose sum is σ = 2356043040. Its totient is φ = 233275392.

The previous prime is 791882303. The next prime is 791882309. The reversal of 791882304 is 403288197.

It is not an unprimeable number, because it can be changed into a prime (791882303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7007752 + ... + 7007864.

Almost surely, 2^791882304 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 791882304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178021520).

791882304 is an abundant number, since it is smaller than the sum of its proper divisors (1564160736).

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

791882304 is a wasteful number, since it uses less digits than its factorization.

791882304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 791882304 is about 28140.4034086223. The cubic root of 791882304 is about 925.1671688130.

The spelling of 791882304 in words is "seven hundred ninety-one million, eight hundred eighty-two thousand, three hundred four".