800516352 has 72 divisors (see below), whose sum is σ = 2135685664. Its totient is φ = 266194944.

The previous prime is 800516347. The next prime is 800516371. The reversal of 800516352 is 253615008.

800516352 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 7 ways as a sum of consecutive naturals, for example, 400668 + ... + 402660.

Almost surely, 2^800516352 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 800516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067842832).

800516352 is an abundant number, since it is smaller than the sum of its proper divisors (1335169312).

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

800516352 is a wasteful number, since it uses less digits than its factorization.

800516352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 800516352 is about 28293.3976750761. The cubic root of 800516352 is about 928.5174482410.

The spelling of 800516352 in words is "eight hundred million, five hundred sixteen thousand, three hundred fifty-two".