879505920 has 240 divisors, whose sum is σ = 3102390720. Its totient is φ = 230203392.

The previous prime is 879505919. The next prime is 879505933. The reversal of 879505920 is 29505978.

It is a happy number.

879505920 is a `hidden beast` number, since 8 + 7 + 9 + 50 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1359037 + ... + 1359683.

It is an arithmetic number, because the mean of its divisors is an integer number (12926628).

Almost surely, 2^879505920 is an apocalyptic number.

879505920 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 879505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551195360).

879505920 is an abundant number, since it is smaller than the sum of its proper divisors (2222884800).

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

879505920 is a wasteful number, since it uses less digits than its factorization.

879505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 879505920 is about 29656.4650624446. The cubic root of 879505920 is about 958.1045935403.

The spelling of 879505920 in words is "eight hundred seventy-nine million, five hundred five thousand, nine hundred twenty".