979672680 has 576 divisors, whose sum is σ = 4054752000. Its totient is φ = 203793408.

The previous prime is 979672667. The next prime is 979672709. The reversal of 979672680 is 86276979.

979672680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12400881 + ... + 12400959.

It is an arithmetic number, because the mean of its divisors is an integer number (7039500).

Almost surely, 2^979672680 is an apocalyptic number.

979672680 is a gapful number since it is divisible by the number (90) 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 979672680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027376000).

979672680 is an abundant number, since it is smaller than the sum of its proper divisors (3075079320).

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

979672680 is a wasteful number, since it uses less digits than its factorization.

979672680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 979672680 is about 31299.7233214608. The cubic root of 979672680 is about 993.1777899578.

The spelling of 979672680 in words is "nine hundred seventy-nine million, six hundred seventy-two thousand, six hundred eighty".