872860432900 has 27 divisors (see below), whose sum is σ = 1894127413269. Its totient is φ = 349140436080.

The previous prime is 872860432889. The next prime is 872860432979. The reversal of 872860432900 is 9234068278.

The square root of 872860432900 is 934270.

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

It can be written as a sum of positive squares in only one way, i.e., 314229755844 + 558630677056 = 560562^2 + 747416^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9295987 + ... + 9389413.

Almost surely, 2^872860432900 is an apocalyptic number.

872860432900 is the 934270-th square number.

It is an amenable number.

872860432900 is an abundant number, since it is smaller than the sum of its proper divisors (1021266980369).

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

872860432900 is an frugal number, since it uses more digits than its factorization.

872860432900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186868 (or 93434 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 872860432900 by its sum of digits (49), we get a square (42770161212100 = 6539890²).

The spelling of 872860432900 in words is "eight hundred seventy-two billion, eight hundred sixty million, four hundred thirty-two thousand, nine hundred".