879371335893600 has 4320 divisors, whose sum is σ = 3910077169669440. Its totient is φ = 191153936793600.

The previous prime is 879371335893541. The next prime is 879371335893601. The reversal of 879371335893600 is 6398533173978.

879371335893600 is a `hidden beast` number, since 8 + 7 + 9 + 3 + 7 + 1 + 3 + 3 + 5 + 8 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879371335893601) by changing a digit.

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 719 ways as a sum of consecutive naturals, for example, 1143525794016 + ... + 1143525794784.

It is an arithmetic number, because the mean of its divisors is an integer number (905110455942).

Almost surely, 2^{879371335893600} is an apocalyptic number.

879371335893600 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 879371335893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955038584834720).

879371335893600 is an abundant number, since it is smaller than the sum of its proper divisors (3030705833775840).

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

879371335893600 is a wasteful number, since it uses less digits than its factorization.

879371335893600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 879371335893600 in words is "eight hundred seventy-nine trillion, three hundred seventy-one billion, three hundred thirty-five million, eight hundred ninety-three thousand, six hundred".