795936160 has 96 divisors (see below), whose sum is σ = 2025741312. Its totient is φ = 294666240.

The previous prime is 795936143. The next prime is 795936181. The reversal of 795936160 is 61639597.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 795936160.

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 15 ways as a sum of consecutive naturals, for example, 110592 + ... + 117568.

It is an arithmetic number, because the mean of its divisors is an integer number (21101472).

Almost surely, 2^795936160 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 795936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012870656).

795936160 is an abundant number, since it is smaller than the sum of its proper divisors (1229805152).

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

795936160 is a wasteful number, since it uses less digits than its factorization.

795936160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 46.

The square root of 795936160 is about 28212.3405622433. The cubic root of 795936160 is about 926.7432080270.

The spelling of 795936160 in words is "seven hundred ninety-five million, nine hundred thirty-six thousand, one hundred sixty".