960978200 has 288 divisors, whose sum is σ = 2953717200. Its totient is φ = 287400960.

The previous prime is 960978197. The next prime is 960978217. The reversal of 960978200 is 2879069.

960978200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2420402 + ... + 2420798.

Almost surely, 2^960978200 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 960978200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476858600).

960978200 is an abundant number, since it is smaller than the sum of its proper divisors (1992739000).

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

960978200 is a wasteful number, since it uses less digits than its factorization.

960978200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 960978200 is about 30999.6483851027. The cubic root of 960978200 is about 986.8197783044.

The spelling of 960978200 in words is "nine hundred sixty million, nine hundred seventy-eight thousand, two hundred".