791290980 has 144 divisors (see below), whose sum is σ = 2476656000. Its totient is φ = 204372480.

The previous prime is 791290979. The next prime is 791291047. The reversal of 791290980 is 89092197.

It is a super-2 number, since 2×791290980² = 1252282830058720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1320721 + ... + 1321319.

It is an arithmetic number, because the mean of its divisors is an integer number (17199000).

Almost surely, 2^791290980 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 791290980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328000).

791290980 is an abundant number, since it is smaller than the sum of its proper divisors (1685365020).

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

791290980 is a wasteful number, since it uses less digits than its factorization.

791290980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 791290980 is about 28129.8947740655. The cubic root of 791290980 is about 924.9368274364.

The spelling of 791290980 in words is "seven hundred ninety-one million, two hundred ninety thousand, nine hundred eighty".