852080800 has 72 divisors (see below), whose sum is σ = 2202538716. Its totient is φ = 320778240.

The previous prime is 852080797. The next prime is 852080809. The reversal of 852080800 is 8080258.

It can be written as a sum of positive squares in 6 ways, for example, as 328769424 + 523311376 = 18132^2 + 22876^2 .

It is not an unprimeable number, because it can be changed into a prime (852080809) 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 11 ways as a sum of consecutive naturals, for example, 17727 + ... + 44926.

Almost surely, 2^852080800 is an apocalyptic number.

852080800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852080800 is an abundant number, since it is smaller than the sum of its proper divisors (1350457916).

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

852080800 is a wasteful number, since it uses less digits than its factorization.

852080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62690 (or 62677 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 852080800 is about 29190.4230870332. The cubic root of 852080800 is about 948.0405781796.

The spelling of 852080800 in words is "eight hundred fifty-two million, eighty thousand, eight hundred".