990078800 has 60 divisors (see below), whose sum is σ = 2417718396. Its totient is φ = 389529600.

The previous prime is 990078781. The next prime is 990078839. The reversal of 990078800 is 8870099.

It can be written as a sum of positive squares in 6 ways, for example, as 132526144 + 857552656 = 11512^2 + 29284^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4112 + ... + 44688.

Almost surely, 2^990078800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208859198).

990078800 is an abundant number, since it is smaller than the sum of its proper divisors (1427639596).

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

990078800 is a wasteful number, since it uses less digits than its factorization.

990078800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40656 (or 40645 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The square root of 990078800 is about 31465.5176343883. The cubic root of 990078800 is about 996.6819359612.

The spelling of 990078800 in words is "nine hundred ninety million, seventy-eight thousand, eight hundred".