879745152 has 256 divisors, whose sum is σ = 2826069120. Its totient is φ = 238878720.

The previous prime is 879745151. The next prime is 879745169. The reversal of 879745152 is 251547978.

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

It is not an unprimeable number, because it can be changed into a prime (879745151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2031528 + ... + 2031960.

Almost surely, 2^879745152 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 879745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413034560).

879745152 is an abundant number, since it is smaller than the sum of its proper divisors (1946323968).

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

879745152 is a wasteful number, since it uses less digits than its factorization.

879745152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 499 counting only the distinct ones).

The product of its digits is 705600, while the sum is 48.

The square root of 879745152 is about 29660.4981751824. The cubic root of 879745152 is about 958.1914561351.

It can be divided in two parts, 879 and 745152, that added together give a triangular number (746031 = T₁₂₂₁).

The spelling of 879745152 in words is "eight hundred seventy-nine million, seven hundred forty-five thousand, one hundred fifty-two".