879999120 has 960 divisors, whose sum is σ = 4211397120. Its totient is φ = 164229120.

The previous prime is 879999119. The next prime is 879999149. The reversal of 879999120 is 21999978.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23783742 + ... + 23783778.

It is an arithmetic number, because the mean of its divisors is an integer number (4386872).

Almost surely, 2^879999120 is an apocalyptic number.

879999120 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 879999120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105698560).

879999120 is an abundant number, since it is smaller than the sum of its proper divisors (3331398000).

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

879999120 is a wasteful number, since it uses less digits than its factorization.

879999120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The square root of 879999120 is about 29664.7791159820. The cubic root of 879999120 is about 958.2836519845.

It can be divided in two parts, 879 and 999120, that added together give a palindrome (999999).

The spelling of 879999120 in words is "eight hundred seventy-nine million, nine hundred ninety-nine thousand, one hundred twenty".