879327187200 has 1944 divisors, whose sum is σ = 4141230256800. Its totient is φ = 182543155200.

The previous prime is 879327187199. The next prime is 879327187241. The reversal of 879327187200 is 2781723978.

879327187200 is a `hidden beast` number, since 8 + 7 + 93 + 271 + 87 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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 215 ways as a sum of consecutive naturals, for example, 838252276 + ... + 838253324.

Almost surely, 2^879327187200 is an apocalyptic number.

879327187200 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 879327187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070615128400).

879327187200 is an abundant number, since it is smaller than the sum of its proper divisors (3261903069600).

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

879327187200 is a wasteful number, since it uses less digits than its factorization.

879327187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 879327187200 in words is "eight hundred seventy-nine billion, three hundred twenty-seven million, one hundred eighty-seven thousand, two hundred".