872979600 has 60 divisors (see below), whose sum is σ = 2796448496. Its totient is φ = 232794240.

The previous prime is 872979553. The next prime is 872979607. The reversal of 872979600 is 6979278.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 872979600.

It is not an unprimeable number, because it can be changed into a prime (872979607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362542 + ... + 364941.

Almost surely, 2^872979600 is an apocalyptic number.

872979600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

872979600 is an abundant number, since it is smaller than the sum of its proper divisors (1923468896).

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

872979600 is a wasteful number, since it uses less digits than its factorization.

872979600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727504 (or 727493 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 872979600 is about 29546.2281856754. The cubic root of 872979600 is about 955.7288552539.

The spelling of 872979600 in words is "eight hundred seventy-two million, nine hundred seventy-nine thousand, six hundred".