879132000 has 192 divisors, whose sum is σ = 2929687488. Its totient is φ = 230400000.

The previous prime is 879131993. The next prime is 879132029. The reversal of 879132000 is 231978.

It is a happy number.

879132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731400 + ... + 732600.

It is an arithmetic number, because the mean of its divisors is an integer number (15258789).

Almost surely, 2^879132000 is an apocalyptic number.

879132000 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 879132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464843744).

879132000 is an abundant number, since it is smaller than the sum of its proper divisors (2050555488).

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

879132000 is a wasteful number, since it uses less digits than its factorization.

879132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 879132000 is about 29650.1602019281. The cubic root of 879132000 is about 957.9687956096.

Adding to 879132000 its reverse (231978), we get a palindrome (879363978).

The spelling of 879132000 in words is "eight hundred seventy-nine million, one hundred thirty-two thousand".