756795816 has 96 divisors (see below), whose sum is σ = 2375568000. Its totient is φ = 213171840.

The previous prime is 756795799. The next prime is 756795847. The reversal of 756795816 is 618597657.

756795816 is a `hidden beast` number, since 7 + 56 + 7 + 9 + 581 + 6 = 666.

756795816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25210 + ... + 46358.

It is an arithmetic number, because the mean of its divisors is an integer number (24745500).

Almost surely, 2^756795816 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 756795816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187784000).

756795816 is an abundant number, since it is smaller than the sum of its proper divisors (1618772184).

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

756795816 is a wasteful number, since it uses less digits than its factorization.

756795816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21239 (or 21232 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 756795816 is about 27509.9221372944. The cubic root of 756795816 is about 911.2962310652.

The spelling of 756795816 in words is "seven hundred fifty-six million, seven hundred ninety-five thousand, eight hundred sixteen".