879808020480 has 544 divisors, whose sum is σ = 3148220563200. Its totient is φ = 233117319168.

The previous prime is 879808020463. The next prime is 879808020521. The reversal of 879808020480 is 84020808978.

879808020480 is a `hidden beast` number, since 8 + 7 + 9 + 80 + 80 + 2 + 0 + 480 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2450718541 + ... + 2450718899.

Almost surely, 2^879808020480 is an apocalyptic number.

879808020480 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 879808020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574110281600).

879808020480 is an abundant number, since it is smaller than the sum of its proper divisors (2268412542720).

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

879808020480 is an equidigital number, since it uses as much as digits as its factorization.

879808020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 879808020480 in words is "eight hundred seventy-nine billion, eight hundred eight million, twenty thousand, four hundred eighty".