990753200 has 120 divisors (see below), whose sum is σ = 2533534272. Its totient is φ = 371036160.

The previous prime is 990753191. The next prime is 990753223. The reversal of 990753200 is 2357099.

990753200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2495402 + ... + 2495798.

Almost surely, 2^990753200 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 990753200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266767136).

990753200 is an abundant number, since it is smaller than the sum of its proper divisors (1542781072).

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

990753200 is a wasteful number, since it uses less digits than its factorization.

990753200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 990753200 is about 31476.2323031204. The cubic root of 990753200 is about 996.9081838582.

The spelling of 990753200 in words is "nine hundred ninety million, seven hundred fifty-three thousand, two hundred".