879439680 has 560 divisors, whose sum is σ = 3699881856. Its totient is φ = 194088960.

The previous prime is 879439657. The next prime is 879439727. The reversal of 879439680 is 86934978.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 6713215 + ... + 6713345.

Almost surely, 2^879439680 is an apocalyptic number.

879439680 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 879439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849940928).

879439680 is an abundant number, since it is smaller than the sum of its proper divisors (2820442176).

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

879439680 is a wasteful number, since it uses less digits than its factorization.

879439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 879439680 is about 29655.3482528869. The cubic root of 879439680 is about 958.0805397164.

The spelling of 879439680 in words is "eight hundred seventy-nine million, four hundred thirty-nine thousand, six hundred eighty".