979200000 has 432 divisors, whose sum is σ = 3742846380. Its totient is φ = 245760000.

The previous prime is 979199971. The next prime is 979200011. The reversal of 979200000 is 2979.

It can be written as a sum of positive squares in 6 ways, for example, as 41370624 + 937829376 = 6432^2 + 30624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57599992 + ... + 57600008.

Almost surely, 2^979200000 is an apocalyptic number.

979200000 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 979200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871423190).

979200000 is an abundant number, since it is smaller than the sum of its proper divisors (2763646380).

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

979200000 is an equidigital number, since it uses as much as digits as its factorization.

979200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 27 counting only the distinct ones).

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

The square root of 979200000 is about 31292.1715449727. The cubic root of 979200000 is about 993.0180322450.

Adding to 979200000 its reverse (2979), we get a palindrome (979202979).

The spelling of 979200000 in words is "nine hundred seventy-nine million, two hundred thousand".