879141600 has 180 divisors, whose sum is σ = 3206294784. Its totient is φ = 234420480.

The previous prime is 879141589. The next prime is 879141611. The reversal of 879141600 is 6141978.

879141600 is a `hidden beast` number, since 8 + 7 + 9 + 1 + 41 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (879141589) and next prime (879141611).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 58017 + ... + 71583.

Almost surely, 2^879141600 is an apocalyptic number.

879141600 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 879141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603147392).

879141600 is an abundant number, since it is smaller than the sum of its proper divisors (2327153184).

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

879141600 is a wasteful number, since it uses less digits than its factorization.

879141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13599 (or 13577 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 879141600 is about 29650.3220893130. The cubic root of 879141600 is about 957.9722825592.

The spelling of 879141600 in words is "eight hundred seventy-nine million, one hundred forty-one thousand, six hundred".