979296768 has 90 divisors (see below), whose sum is σ = 2832460917. Its totient is φ = 325724160.

The previous prime is 979296757. The next prime is 979296793. The reversal of 979296768 is 867692979.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 946669824 + 32626944 = 30768^2 + 5712^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22128.

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 8 ways as a sum of consecutive naturals, for example, 2124058 + ... + 2124518.

Almost surely, 2^979296768 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 979296768

979296768 is an abundant number, since it is smaller than the sum of its proper divisors (1853164149).

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

979296768 is an frugal number, since it uses more digits than its factorization.

979296768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 466 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The square root of 979296768 is about 31293.7177081918. The cubic root of 979296768 is about 993.0507423497.

The spelling of 979296768 in words is "nine hundred seventy-nine million, two hundred ninety-six thousand, seven hundred sixty-eight".