879133248 has 168 divisors, whose sum is σ = 2892868992. Its totient is φ = 250048512.

The previous prime is 879133183. The next prime is 879133259. The reversal of 879133248 is 842331978.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1358461 + ... + 1359107.

Almost surely, 2^879133248 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 879133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446434496).

879133248 is an abundant number, since it is smaller than the sum of its proper divisors (2013735744).

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

879133248 is a wasteful number, since it uses less digits than its factorization.

879133248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 996 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 879133248 is about 29650.1812473381. The cubic root of 879133248 is about 957.9692489145.

The spelling of 879133248 in words is "eight hundred seventy-nine million, one hundred thirty-three thousand, two hundred forty-eight".