879507552 has 192 divisors, whose sum is σ = 2946392064. Its totient is φ = 223050240.

The previous prime is 879507539. The next prime is 879507613. The reversal of 879507552 is 255705978.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 316473 + ... + 319239.

It is an arithmetic number, because the mean of its divisors is an integer number (15345792).

Almost surely, 2^879507552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879507552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473196032).

879507552 is an abundant number, since it is smaller than the sum of its proper divisors (2066884512).

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

879507552 is a wasteful number, since it uses less digits than its factorization.

879507552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The square root of 879507552 is about 29656.4925775116. The cubic root of 879507552 is about 958.1051861555.

The spelling of 879507552 in words is "eight hundred seventy-nine million, five hundred seven thousand, five hundred fifty-two".