979840800 has 180 divisors, whose sum is σ = 3573525186. Its totient is φ = 261273600.

The previous prime is 979840769. The next prime is 979840801. The reversal of 979840800 is 8048979.

979840800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 583512336 + 396328464 = 24156^2 + 19908^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (979840801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 57240 + ... + 72360.

Almost surely, 2^979840800 is an apocalyptic number.

979840800 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 979840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786762593).

979840800 is an abundant number, since it is smaller than the sum of its proper divisors (2593684386).

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

979840800 is a wasteful number, since it uses less digits than its factorization.

979840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15153 (or 15131 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 979840800 is about 31302.4088529940. The cubic root of 979840800 is about 993.2345992381.

The spelling of 979840800 in words is "nine hundred seventy-nine million, eight hundred forty thousand, eight hundred".