879754752 has 120 divisors (see below), whose sum is σ = 2575750320. Its totient is φ = 289013760.

The previous prime is 879754751. The next prime is 879754763. The reversal of 879754752 is 257457978.

It is a happy number.

879754752 is a `hidden beast` number, since 8 + 7 + 97 + 547 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879754751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325824 + ... + 328512.

It is an arithmetic number, because the mean of its divisors is an integer number (21464586).

Almost surely, 2^879754752 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 879754752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287875160).

879754752 is an abundant number, since it is smaller than the sum of its proper divisors (1695995568).

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

879754752 is a wasteful number, since it uses less digits than its factorization.

879754752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2765 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The square root of 879754752 is about 29660.6600061428. The cubic root of 879754752 is about 958.1949414644.

The spelling of 879754752 in words is "eight hundred seventy-nine million, seven hundred fifty-four thousand, seven hundred fifty-two".