879028920 has 384 divisors, whose sum is σ = 3751488000. Its totient is φ = 172938240.

The previous prime is 879028907. The next prime is 879028933. The reversal of 879028920 is 29820978.

879028920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (879028907) and next prime (879028933).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525846 + ... + 527514.

It is an arithmetic number, because the mean of its divisors is an integer number (9769500).

Almost surely, 2^879028920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879028920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875744000).

879028920 is an abundant number, since it is smaller than the sum of its proper divisors (2872459080).

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

879028920 is a wasteful number, since it uses less digits than its factorization.

879028920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 879028920 is about 29648.4218804307. The cubic root of 879028920 is about 957.9313528884.

The spelling of 879028920 in words is "eight hundred seventy-nine million, twenty-eight thousand, nine hundred twenty".