879475968 has 360 divisors, whose sum is σ = 3074731968. Its totient is φ = 244850688.

The previous prime is 879475963. The next prime is 879475973. The reversal of 879475968 is 869574978.

879475968 is a `hidden beast` number, since 8 + 79 + 475 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (879475963) and next prime (879475973).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (30481920) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879475963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10596055 + ... + 10596137.

Almost surely, 2^879475968 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 879475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537365984).

879475968 is an abundant number, since it is smaller than the sum of its proper divisors (2195256000).

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

879475968 is an equidigital number, since it uses as much as digits as its factorization.

879475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 879475968 is about 29655.9600755059. The cubic root of 879475968 is about 958.0937171782.

The spelling of 879475968 in words is "eight hundred seventy-nine million, four hundred seventy-five thousand, nine hundred sixty-eight".