879001200 has 720 divisors, whose sum is σ = 3996529920. Its totient is φ = 181440000.

The previous prime is 879001183. The next prime is 879001231. The reversal of 879001200 is 2100978.

879001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5821125 + ... + 5821275.

It is an arithmetic number, because the mean of its divisors is an integer number (5550736).

Almost surely, 2^879001200 is an apocalyptic number.

879001200 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 879001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998264960).

879001200 is an abundant number, since it is smaller than the sum of its proper divisors (3117528720).

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

879001200 is a wasteful number, since it uses less digits than its factorization.

879001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 879001200 is about 29647.9543982380. The cubic root of 879001200 is about 957.9212833918.

The spelling of 879001200 in words is "eight hundred seventy-nine million, one thousand, two hundred".