879386880 has 288 divisors, whose sum is σ = 3134678400. Its totient is φ = 208797696.

The previous prime is 879386869. The next prime is 879386903. The reversal of 879386880 is 88683978.

It is a super-2 number, since 2×879386880² = 1546642569432268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 879386880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239966 + ... + 1240674.

It is an arithmetic number, because the mean of its divisors is an integer number (10884300).

Almost surely, 2^879386880 is an apocalyptic number.

879386880 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 879386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567339200).

879386880 is an abundant number, since it is smaller than the sum of its proper divisors (2255291520).

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

879386880 is a wasteful number, since it uses less digits than its factorization.

879386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 879386880 is about 29654.4580122450. The cubic root of 879386880 is about 958.0613655134.

The spelling of 879386880 in words is "eight hundred seventy-nine million, three hundred eighty-six thousand, eight hundred eighty".