812852800 has 42 divisors (see below), whose sum is σ = 2000129858. Its totient is φ = 325140480.

The previous prime is 812852797. The next prime is 812852819. The reversal of 812852800 is 8258218.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 257025024 + 555827776 = 16032^2 + 23576^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252417 + ... + 255616.

Almost surely, 2^812852800 is an apocalyptic number.

812852800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812852800 is an abundant number, since it is smaller than the sum of its proper divisors (1187277058).

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

812852800 is a wasteful number, since it uses less digits than its factorization.

812852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508055 (or 508040 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 812852800 is about 28510.5734772207. The cubic root of 812852800 is about 933.2628291414.

The spelling of 812852800 in words is "eight hundred twelve million, eight hundred fifty-two thousand, eight hundred".