979680 has 96 divisors (see below), whose sum is σ = 3344544. Its totient is φ = 239616.

The previous prime is 979651. The next prime is 979691. The reversal of 979680 is 86979.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6162 + ... + 6318.

It is an arithmetic number, because the mean of its divisors is an integer number (34839).

2⁹⁷⁹⁶⁸⁰ 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 979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672272).

979680 is an abundant number, since it is smaller than the sum of its proper divisors (2364864).

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

979680 is a wasteful number, since it uses less digits than its factorization.

979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 979680 is about 989.7878560581. The cubic root of 979680 is about 99.3180263588.

The spelling of 979680 in words is "nine hundred seventy-nine thousand, six hundred eighty".