791324160 has 640 divisors, whose sum is σ = 3181939200. Its totient is φ = 165150720.

The previous prime is 791324137. The next prime is 791324167. The reversal of 791324160 is 61423197.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791324167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27287026 + ... + 27287054.

It is an arithmetic number, because the mean of its divisors is an integer number (4971780).

Almost surely, 2^791324160 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 791324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590969600).

791324160 is an abundant number, since it is smaller than the sum of its proper divisors (2390615040).

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

791324160 is a wasteful number, since it uses less digits than its factorization.

791324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 791324160 is about 28130.4845319095. The cubic root of 791324160 is about 924.9497552450.

The spelling of 791324160 in words is "seven hundred ninety-one million, three hundred twenty-four thousand, one hundred sixty".