879872000 has 192 divisors, whose sum is σ = 2514395520. Its totient is φ = 301056000.

The previous prime is 879871999. The next prime is 879872011. The reversal of 879872000 is 278978.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791755 + ... + 1792245.

It is an arithmetic number, because the mean of its divisors is an integer number (13095810).

Almost surely, 2^879872000 is an apocalyptic number.

879872000 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 879872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257197760).

879872000 is an abundant number, since it is smaller than the sum of its proper divisors (1634523520).

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

879872000 is an equidigital number, since it uses as much as digits as its factorization.

879872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The square root of 879872000 is about 29662.6364303647. The cubic root of 879872000 is about 958.2375069065.

The spelling of 879872000 in words is "eight hundred seventy-nine million, eight hundred seventy-two thousand".