879187200 has 216 divisors, whose sum is σ = 3003453600. Its totient is φ = 226222080.

The previous prime is 879187193. The next prime is 879187201. The reversal of 879187200 is 2781978.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879187201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556011 + ... + 557589.

Almost surely, 2^879187200 is an apocalyptic number.

879187200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501726800).

879187200 is an abundant number, since it is smaller than the sum of its proper divisors (2124266400).

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

879187200 is a wasteful number, since it uses less digits than its factorization.

879187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 879187200 is about 29651.0910423209. The cubic root of 879187200 is about 957.9888452232.

The spelling of 879187200 in words is "eight hundred seventy-nine million, one hundred eighty-seven thousand, two hundred".