879322752 has 384 divisors, whose sum is σ = 3299512320. Its totient is φ = 217958400.

The previous prime is 879322733. The next prime is 879322783. The reversal of 879322752 is 257223978.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 879322698 and 879322707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2039977 + ... + 2040407.

It is an arithmetic number, because the mean of its divisors is an integer number (8592480).

Almost surely, 2^879322752 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 879322752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649756160).

879322752 is an abundant number, since it is smaller than the sum of its proper divisors (2420189568).

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

879322752 is a wasteful number, since it uses less digits than its factorization.

879322752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 879322752 is about 29653.3767385773. The cubic root of 879322752 is about 958.0380765401.

The spelling of 879322752 in words is "eight hundred seventy-nine million, three hundred twenty-two thousand, seven hundred fifty-two".