795771072 has 252 divisors, whose sum is σ = 2490962760. Its totient is φ = 242694144.

The previous prime is 795771061. The next prime is 795771073. The reversal of 795771072 is 270177597.

795771072 is a `hidden beast` number, since 7 + 9 + 577 + 1 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (795771073) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8941204 + ... + 8941292.

Almost surely, 2^795771072 is an apocalyptic number.

795771072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795771072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245481380).

795771072 is an abundant number, since it is smaller than the sum of its proper divisors (1695191688).

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

795771072 is a wasteful number, since it uses less digits than its factorization.

795771072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 45.

The square root of 795771072 is about 28209.4145986761. The cubic root of 795771072 is about 926.6791305422.

The spelling of 795771072 in words is "seven hundred ninety-five million, seven hundred seventy-one thousand, seventy-two".