827372900 has 36 divisors (see below), whose sum is σ = 1857316020. Its totient is φ = 319536000.

The previous prime is 827372867. The next prime is 827372957. The reversal of 827372900 is 9273728.

It can be written as a sum of positive squares in 6 ways, for example, as 3912484 + 823460416 = 1978^2 + 28696^2 .

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 11 ways as a sum of consecutive naturals, for example, 139751 + ... + 145550.

Almost surely, 2^827372900 is an apocalyptic number.

It is an amenable number.

827372900 is an abundant number, since it is smaller than the sum of its proper divisors (1029943120).

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

827372900 is a wasteful number, since it uses less digits than its factorization.

827372900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285344 (or 285337 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 827372900 is about 28764.0904601553. The cubic root of 827372900 is about 938.7870654034.

The spelling of 827372900 in words is "eight hundred twenty-seven million, three hundred seventy-two thousand, nine hundred".