795973008 has 80 divisors (see below), whose sum is σ = 2129070080. Its totient is φ = 256048128.

The previous prime is 795973007. The next prime is 795973033. The reversal of 795973008 is 800379597.

795973008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (795973001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223788 + ... + 227316.

It is an arithmetic number, because the mean of its divisors is an integer number (26613376).

Almost surely, 2^795973008 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 795973008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064535040).

795973008 is an abundant number, since it is smaller than the sum of its proper divisors (1333097072).

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

795973008 is a wasteful number, since it uses less digits than its factorization.

795973008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 795973008 is about 28212.9936022394. The cubic root of 795973008 is about 926.7575090512.

The spelling of 795973008 in words is "seven hundred ninety-five million, nine hundred seventy-three thousand, eight".