879744000 has 352 divisors, whose sum is σ = 3065587200. Its totient is φ = 223641600.

The previous prime is 879743957. The next prime is 879744001. The reversal of 879744000 is 447978.

It is a self number, because there is not a number n which added to its sum of digits gives 879744000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879744001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11135961 + ... + 11136039.

Almost surely, 2^879744000 is an apocalyptic number.

879744000 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 879744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532793600).

879744000 is an abundant number, since it is smaller than the sum of its proper divisors (2185843200).

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

879744000 is a wasteful number, since it uses less digits than its factorization.

879744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 879744000 is about 29660.4787554078. The cubic root of 879744000 is about 958.1910378939.

The spelling of 879744000 in words is "eight hundred seventy-nine million, seven hundred forty-four thousand".