878087066400 has 144 divisors (see below), whose sum is σ = 3175748301600. Its totient is φ = 234156545280.

The previous prime is 878087066377. The next prime is 878087066413. The reversal of 878087066400 is 4660780878.

878087066400 is a `hidden beast` number, since 87 + 80 + 87 + 0 + 6 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20304490 + ... + 20347689.

It is an arithmetic number, because the mean of its divisors is an integer number (22053807650).

Almost surely, 2^878087066400 is an apocalyptic number.

878087066400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

878087066400 is an abundant number, since it is smaller than the sum of its proper divisors (2297661235200).

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

878087066400 is a wasteful number, since it uses less digits than its factorization.

878087066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40652208 (or 40652189 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 878087066400 in words is "eight hundred seventy-eight billion, eighty-seven million, sixty-six thousand, four hundred".