875029284900 has 81 divisors (see below), whose sum is σ = 2742818645203. Its totient is φ = 233333659200.

The previous prime is 875029284889. The next prime is 875029284917. The reversal of 875029284900 is 9482920578.

The square root of 875029284900 is 935430.

It is a perfect power (a square), and thus also a powerful number.

875029284900 is a `hidden beast` number, since 8 + 7 + 502 + 92 + 8 + 49 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 428399048484 + 446630236416 = 654522^2 + 668304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28047310 + ... + 28078490.

Almost surely, 2^875029284900 is an apocalyptic number.

875029284900 is the 935430-th square number.

It is an amenable number.

875029284900 is an abundant number, since it is smaller than the sum of its proper divisors (1867789360303).

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

875029284900 is an equidigital number, since it uses as much as digits as its factorization.

875029284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62382 (or 31191 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

It can be divided in two parts, 875029 and 284900, that added together give a square (1159929 = 1077²).

The spelling of 875029284900 in words is "eight hundred seventy-five billion, twenty-nine million, two hundred eighty-four thousand, nine hundred".