879928080 has 160 divisors (see below), whose sum is σ = 2821319424. Its totient is φ = 226695168.

The previous prime is 879928079. The next prime is 879928081. The reversal of 879928080 is 80829978.

It is an interprime number because it is at equal distance from previous prime (879928079) and next prime (879928081).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (879928081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1749109 + ... + 1749611.

Almost surely, 2^879928080 is an apocalyptic number.

879928080 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 879928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410659712).

879928080 is an abundant number, since it is smaller than the sum of its proper divisors (1941391344).

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

879928080 is a wasteful number, since it uses less digits than its factorization.

879928080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 879928080 is about 29663.5817122612. The cubic root of 879928080 is about 958.2578647228.

The spelling of 879928080 in words is "eight hundred seventy-nine million, nine hundred twenty-eight thousand, eighty".