979102080 has 640 divisors, whose sum is σ = 4078784160. Its totient is φ = 221184000.

The previous prime is 979102027. The next prime is 979102081. The reversal of 979102080 is 80201979.

It is a happy number.

979102080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979102081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9694030 + ... + 9694130.

Almost surely, 2^979102080 is an apocalyptic number.

979102080 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 979102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039392080).

979102080 is an abundant number, since it is smaller than the sum of its proper divisors (3099682080).

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

979102080 is a wasteful number, since it uses less digits than its factorization.

979102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 979102080 is about 31290.6068972783. The cubic root of 979102080 is about 992.9849305405.

The spelling of 979102080 in words is "nine hundred seventy-nine million, one hundred two thousand, eighty".