879455808 has 336 divisors, whose sum is σ = 3195279360. Its totient is φ = 224640000.

The previous prime is 879455803. The next prime is 879455813. The reversal of 879455808 is 808554978.

879455808 is a `hidden beast` number, since 87 + 9 + 4 + 558 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (879455803) and next prime (879455813).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (879455803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3503683 + ... + 3503933.

It is an arithmetic number, because the mean of its divisors is an integer number (9509760).

Almost surely, 2^879455808 is an apocalyptic number.

879455808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879455808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597639680).

879455808 is an abundant number, since it is smaller than the sum of its proper divisors (2315823552).

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

879455808 is a wasteful number, since it uses less digits than its factorization.

879455808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 879455808 is about 29655.6201756092. The cubic root of 879455808 is about 958.0863964109.

The spelling of 879455808 in words is "eight hundred seventy-nine million, four hundred fifty-five thousand, eight hundred eight".