790831080 has 512 divisors, whose sum is σ = 3096576000. Its totient is φ = 177914880.

The previous prime is 790831061. The next prime is 790831099. The reversal of 790831080 is 80138097.

It is an interprime number because it is at equal distance from previous prime (790831061) and next prime (790831099).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 10010481 + ... + 10010559.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2^790831080 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 790831080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548288000).

790831080 is an abundant number, since it is smaller than the sum of its proper divisors (2305744920).

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

790831080 is a wasteful number, since it uses less digits than its factorization.

790831080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 790831080 is about 28121.7190086239. The cubic root of 790831080 is about 924.7576009594.

The spelling of 790831080 in words is "seven hundred ninety million, eight hundred thirty-one thousand, eighty".