879847920 has 600 divisors, whose sum is σ = 3786949584. Its totient is φ = 188116992.

The previous prime is 879847919. The next prime is 879847931. The reversal of 879847920 is 29748978.

879847920 is a `hidden beast` number, since 87 + 98 + 479 + 2 + 0 = 666.

879847920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5397759 + ... + 5397921.

Almost surely, 2^879847920 is an apocalyptic number.

879847920 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 879847920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893474792).

879847920 is an abundant number, since it is smaller than the sum of its proper divisors (2907101664).

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

879847920 is a wasteful number, since it uses less digits than its factorization.

879847920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 879847920 is about 29662.2305297494. The cubic root of 879847920 is about 958.2287652677.

The spelling of 879847920 in words is "eight hundred seventy-nine million, eight hundred forty-seven thousand, nine hundred twenty".