815085800 has 24 divisors (see below), whose sum is σ = 1895074950. Its totient is φ = 326034240.

The previous prime is 815085793. The next prime is 815085811. The reversal of 815085800 is 8580518.

It can be written as a sum of positive squares in 3 ways, for example, as 474978436 + 340107364 = 21794^2 + 18442^2 .

It is a super-2 number, since 2×815085800² = 1328729722723280000, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2037515 + ... + 2037914.

Almost surely, 2^815085800 is an apocalyptic number.

It is an amenable number.

815085800 is an abundant number, since it is smaller than the sum of its proper divisors (1079989150).

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

815085800 is a wasteful number, since it uses less digits than its factorization.

815085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075445 (or 4075436 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 35.

The square root of 815085800 is about 28549.7075291499. The cubic root of 815085800 is about 934.1166411712.

The spelling of 815085800 in words is "eight hundred fifteen million, eighty-five thousand, eight hundred".