795264000 has 352 divisors, whose sum is σ = 2810121600. Its totient is φ = 199065600.

The previous prime is 795263983. The next prime is 795264011. The reversal of 795264000 is 462597.

795264000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7295946 + ... + 7296054.

It is an arithmetic number, because the mean of its divisors is an integer number (7983300).

Almost surely, 2^795264000 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 795264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405060800).

795264000 is an abundant number, since it is smaller than the sum of its proper divisors (2014857600).

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

795264000 is a wasteful number, since it uses less digits than its factorization.

795264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 795264000 is about 28200.4255287043. The cubic root of 795264000 is about 926.4822594827.

The spelling of 795264000 in words is "seven hundred ninety-five million, two hundred sixty-four thousand".