878904967905792 has 240 divisors, whose sum is σ = 2672151989913120. Its totient is φ = 277333914009600.

The previous prime is 878904967905763. The next prime is 878904967905829. The reversal of 878904967905792 is 297509769409878.

It is a happy number.

It is a Smith number, since the sum of its digits (90) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 109141692 + ... + 116917572.

It is an arithmetic number, because the mean of its divisors is an integer number (11133966624638).

Almost surely, 2^{878904967905792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 878904967905792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336075994956560).

878904967905792 is an abundant number, since it is smaller than the sum of its proper divisors (1793247022007328).

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

878904967905792 is a wasteful number, since it uses less digits than its factorization.

878904967905792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777215 (or 7777196 counting only the distinct ones).

The product of its (nonzero) digits is 34566497280, while the sum is 90.

The spelling of 878904967905792 in words is "eight hundred seventy-eight trillion, nine hundred four billion, nine hundred sixty-seven million, nine hundred five thousand, seven hundred ninety-two".