979925760 has 648 divisors, whose sum is σ = 4028846640. Its totient is φ = 218972160.

The previous prime is 979925731. The next prime is 979925761. The reversal of 979925760 is 67529979.

It is a super-2 number, since 2×979925760² = 1920508990223155200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 979925697 and 979925706.

It is not an unprimeable number, because it can be changed into a prime (979925761) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 26484462 + ... + 26484498.

Almost surely, 2^979925760 is an apocalyptic number.

979925760 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 979925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014423320).

979925760 is an abundant number, since it is smaller than the sum of its proper divisors (3048920880).

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

979925760 is a wasteful number, since it uses less digits than its factorization.

979925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 979925760 is about 31303.7659076348. The cubic root of 979925760 is about 993.2633055248.

The spelling of 979925760 in words is "nine hundred seventy-nine million, nine hundred twenty-five thousand, seven hundred sixty".