879115680 has 168 divisors, whose sum is σ = 3114354852. Its totient is φ = 234399744.

The previous prime is 879115673. The next prime is 879115709. The reversal of 879115680 is 86511978.

879115680 is a `hidden beast` number, since 8 + 79 + 11 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 869306256 + 9809424 = 29484^2 + 3132^2 .

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 27 ways as a sum of consecutive naturals, for example, 112872 + ... + 120408.

Almost surely, 2^879115680 is an apocalyptic number.

879115680 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 879115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557177426).

879115680 is an abundant number, since it is smaller than the sum of its proper divisors (2235239172).

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

879115680 is an equidigital number, since it uses as much as digits as its factorization.

879115680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 879115680 is about 29649.8849913452. The cubic root of 879115680 is about 957.9628677370.

The spelling of 879115680 in words is "eight hundred seventy-nine million, one hundred fifteen thousand, six hundred eighty".