979408800 has 144 divisors (see below), whose sum is σ = 3542273280. Its totient is φ = 261169920.

The previous prime is 979408799. The next prime is 979408819. The reversal of 979408800 is 8804979.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1072 + ... + 44271.

It is an arithmetic number, because the mean of its divisors is an integer number (24599120).

Almost surely, 2^979408800 is an apocalyptic number.

979408800 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 979408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771136640).

979408800 is an abundant number, since it is smaller than the sum of its proper divisors (2562864480).

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

979408800 is a wasteful number, since it uses less digits than its factorization.

979408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45372 (or 45353 counting only the distinct ones).

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

The square root of 979408800 is about 31295.5076648391. The cubic root of 979408800 is about 993.0886093927.

The spelling of 979408800 in words is "nine hundred seventy-nine million, four hundred eight thousand, eight hundred".