795792000 has 256 divisors, whose sum is σ = 2692310400. Its totient is φ = 207872000.

The previous prime is 795791993. The next prime is 795792007. The reversal of 795792000 is 297597.

795792000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (795791993) and next prime (795792007).

It is a self number, because there is not a number n which added to its sum of digits gives 795792000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795792007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2831860 + ... + 2832140.

Almost surely, 2^795792000 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 795792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346155200).

795792000 is an abundant number, since it is smaller than the sum of its proper divisors (1896518400).

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

795792000 is a wasteful number, since it uses less digits than its factorization.

795792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 795792000 is about 28209.7855362284. The cubic root of 795792000 is about 926.6872540556.

The spelling of 795792000 in words is "seven hundred ninety-five million, seven hundred ninety-two thousand".