879968091340800 has 6912 divisors, whose sum is σ = 4362156381623040. Its totient is φ = 171534031257600.

The previous prime is 879968091340763. The next prime is 879968091340813. The reversal of 879968091340800 is 8043190869978.

879968091340800 is a `hidden beast` number, since 8 + 79 + 9 + 68 + 0 + 91 + 3 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2866345574247 + ... + 2866345574553.

It is an arithmetic number, because the mean of its divisors is an integer number (631099013545).

Almost surely, 2^{879968091340800} is an apocalyptic number.

879968091340800 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 879968091340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181078190811520).

879968091340800 is an abundant number, since it is smaller than the sum of its proper divisors (3482188290282240).

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

879968091340800 is a wasteful number, since it uses less digits than its factorization.

879968091340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 879968091340800 in words is "eight hundred seventy-nine trillion, nine hundred sixty-eight billion, ninety-one million, three hundred forty thousand, eight hundred".