879445688800 has 1152 divisors, whose sum is σ = 2792821248000. Its totient is φ = 269216317440.

The previous prime is 879445688773. The next prime is 879445688881. The reversal of 879445688800 is 8886544978.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9066450352 + ... + 9066450448.

It is an arithmetic number, because the mean of its divisors is an integer number (2424324000).

Almost surely, 2^879445688800 is an apocalyptic number.

879445688800 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 879445688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396410624000).

879445688800 is an abundant number, since it is smaller than the sum of its proper divisors (1913375559200).

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

879445688800 is a wasteful number, since it uses less digits than its factorization.

879445688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 67.

The spelling of 879445688800 in words is "eight hundred seventy-nine billion, four hundred forty-five million, six hundred eighty-eight thousand, eight hundred".