979200 has 162 divisors, whose sum is σ = 3706794. Its totient is φ = 245760.

The previous prime is 979189. The next prime is 979201. The reversal of 979200 is 2979.

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 831744 = 384^2 + 912^2 .

It is not an unprimeable number, because it can be changed into a prime (979201) by changing a digit.

979200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57592 + ... + 57608.

2⁹⁷⁹²⁰⁰ is an apocalyptic number.

979200 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 979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853397).

979200 is an abundant number, since it is smaller than the sum of its proper divisors (2727594).

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

979200 is a wasteful number, since it uses less digits than its factorization.

979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 979200 is about 989.5453501482. The cubic root of 979200 is about 99.3018032245.

The spelling of 979200 in words is "nine hundred seventy-nine thousand, two hundred".