879634080 has 480 divisors, whose sum is σ = 3503896704. Its totient is φ = 206198784.

The previous prime is 879634079. The next prime is 879634109. The reversal of 879634080 is 80436978.

It is a happy number.

879634080 is a `hidden beast` number, since 8 + 7 + 9 + 634 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×879634080² = 1547512229394892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3874927 + ... + 3875153.

Almost surely, 2^879634080 is an apocalyptic number.

879634080 is a gapful number since it is divisible by the number (80) 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 879634080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751948352).

879634080 is an abundant number, since it is smaller than the sum of its proper divisors (2624262624).

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

879634080 is a wasteful number, since it uses less digits than its factorization.

879634080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

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

The square root of 879634080 is about 29658.6257267595. The cubic root of 879634080 is about 958.1511290319.

The spelling of 879634080 in words is "eight hundred seventy-nine million, six hundred thirty-four thousand, eighty".