879033600 has 216 divisors, whose sum is σ = 3223960320. Its totient is φ = 234362880.

The previous prime is 879033599. The next prime is 879033611. The reversal of 879033600 is 6330978.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 170257 + ... + 175343.

Almost surely, 2^879033600 is an apocalyptic number.

879033600 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 879033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611980160).

879033600 is an abundant number, since it is smaller than the sum of its proper divisors (2344926720).

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

879033600 is a wasteful number, since it uses less digits than its factorization.

879033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 879033600 is about 29648.5008052684. The cubic root of 879033600 is about 957.9330529124.

The spelling of 879033600 in words is "eight hundred seventy-nine million, thirty-three thousand, six hundred".