979845120 has 240 divisors, whose sum is σ = 3491651520. Its totient is φ = 260702208.

The previous prime is 979845073. The next prime is 979845151. The reversal of 979845120 is 21548979.

979845120 is a `hidden beast` number, since 97 + 98 + 451 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211619 + ... + 2212061.

It is an arithmetic number, because the mean of its divisors is an integer number (14548548).

Almost surely, 2^979845120 is an apocalyptic number.

979845120 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 979845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745825760).

979845120 is an abundant number, since it is smaller than the sum of its proper divisors (2511806400).

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

979845120 is an equidigital number, since it uses as much as digits as its factorization.

979845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 979845120 is about 31302.4778571921. The cubic root of 979845120 is about 993.2360589199.

The spelling of 979845120 in words is "nine hundred seventy-nine million, eight hundred forty-five thousand, one hundred twenty".