879047769600 has 3600 divisors, whose sum is σ = 4482978602256. Its totient is φ = 168608563200.

The previous prime is 879047769529. The next prime is 879047769629. The reversal of 879047769600 is 6967740978.

879047769600 is a `hidden beast` number, since 8 + 79 + 0 + 477 + 6 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 67619059194 + ... + 67619059206.

Almost surely, 2^879047769600 is an apocalyptic number.

879047769600 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 879047769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241489301128).

879047769600 is an abundant number, since it is smaller than the sum of its proper divisors (3603930832656).

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

879047769600 is a wasteful number, since it uses less digits than its factorization.

879047769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 879047769600 in words is "eight hundred seventy-nine billion, forty-seven million, seven hundred sixty-nine thousand, six hundred".