879879424704 has 448 divisors, whose sum is σ = 2787870707712. Its totient is φ = 239674982400.

The previous prime is 879879424661. The next prime is 879879424717. The reversal of 879879424704 is 407424978978.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1307398512 + ... + 1307399184.

Almost surely, 2^879879424704 is an apocalyptic number.

879879424704 is a gapful number since it is divisible by the number (84) 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 879879424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393935353856).

879879424704 is an abundant number, since it is smaller than the sum of its proper divisors (1907991283008).

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

879879424704 is a wasteful number, since it uses less digits than its factorization.

879879424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 69.

The spelling of 879879424704 in words is "eight hundred seventy-nine billion, eight hundred seventy-nine million, four hundred twenty-four thousand, seven hundred four".