96756800 has 168 divisors, whose sum is σ = 278928576. Its totient is φ = 32348160.

The previous prime is 96756799. The next prime is 96756811. The reversal of 96756800 is 865769.

It is a happy number.

It is a congruent number.

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, 593519 + ... + 593681.

Almost surely, 2^96756800 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 96756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139464288).

96756800 is an abundant number, since it is smaller than the sum of its proper divisors (182171776).

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

96756800 is a wasteful number, since it uses less digits than its factorization.

96756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 96756800 is about 9836.5034438056. The cubic root of 96756800 is about 459.0857708562.

The spelling of 96756800 in words is "ninety-six million, seven hundred fifty-six thousand, eight hundred".