879628680 has 256 divisors, whose sum is σ = 3370752000. Its totient is φ = 199874304.

The previous prime is 879628663. The next prime is 879628681. The reversal of 879628680 is 86826978.

879628680 is a `hidden beast` number, since 8 + 7 + 9 + 628 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×879628680² = 1547493229357084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (879628681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2320731 + ... + 2321109.

It is an arithmetic number, because the mean of its divisors is an integer number (13167000).

Almost surely, 2^879628680 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 879628680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685376000).

879628680 is an abundant number, since it is smaller than the sum of its proper divisors (2491123320).

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

879628680 is a wasteful number, since it uses less digits than its factorization.

879628680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 879628680 is about 29658.5346907092. The cubic root of 879628680 is about 958.1491683580.

The spelling of 879628680 in words is "eight hundred seventy-nine million, six hundred twenty-eight thousand, six hundred eighty".