979680240 has 480 divisors, whose sum is σ = 4211730432. Its totient is φ = 198144000.

The previous prime is 979680217. The next prime is 979680257. The reversal of 979680240 is 42086979.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2272825 + ... + 2273255.

Almost surely, 2^979680240 is an apocalyptic number.

979680240 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 979680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105865216).

979680240 is an abundant number, since it is smaller than the sum of its proper divisors (3232050192).

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

979680240 is a wasteful number, since it uses less digits than its factorization.

979680240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 979680240 is about 31299.8440890686. The cubic root of 979680240 is about 993.1803446903.

The spelling of 979680240 in words is "nine hundred seventy-nine million, six hundred eighty thousand, two hundred forty".