879352588800 has 1800 divisors, whose sum is σ = 3989535992640. Its totient is φ = 190207180800.

The previous prime is 879352588799. The next prime is 879352588811. The reversal of 879352588800 is 8885253978.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 965260345 + ... + 965261255.

Almost surely, 2^879352588800 is an apocalyptic number.

879352588800 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 879352588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994767996320).

879352588800 is an abundant number, since it is smaller than the sum of its proper divisors (3110183403840).

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

879352588800 is a wasteful number, since it uses less digits than its factorization.

879352588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 879352588800 in words is "eight hundred seventy-nine billion, three hundred fifty-two million, five hundred eighty-eight thousand, eight hundred".