979378560 has 384 divisors, whose sum is σ = 3684117600. Its totient is φ = 245846016.

The previous prime is 979378559. The next prime is 979378637. The reversal of 979378560 is 65873979.

979378560 is a `hidden beast` number, since 9 + 7 + 9 + 3 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 979378497 and 979378506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6238002 + ... + 6238158.

Almost surely, 2^979378560 is an apocalyptic number.

979378560 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 979378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842058800).

979378560 is an abundant number, since it is smaller than the sum of its proper divisors (2704739040).

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

979378560 is a wasteful number, since it uses less digits than its factorization.

979378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 979378560 is about 31295.0245246748. The cubic root of 979378560 is about 993.0783884960.

The spelling of 979378560 in words is "nine hundred seventy-nine million, three hundred seventy-eight thousand, five hundred sixty".