879466896 has 300 divisors, whose sum is σ = 3232761840. Its totient is φ = 228251520.

The previous prime is 879466883. The next prime is 879466897. The reversal of 879466896 is 698664978.

879466896 is a `hidden beast` number, since 87 + 9 + 466 + 8 + 96 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (879466897) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 697915 + ... + 699173.

Almost surely, 2^879466896 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 879466896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616380920).

879466896 is an abundant number, since it is smaller than the sum of its proper divisors (2353294944).

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

879466896 is a wasteful number, since it uses less digits than its factorization.

879466896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1282 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 879466896 is about 29655.8071210345. The cubic root of 879466896 is about 958.0904228468.

The spelling of 879466896 in words is "eight hundred seventy-nine million, four hundred sixty-six thousand, eight hundred ninety-six".