95772800 has 72 divisors (see below), whose sum is σ = 237964215. Its totient is φ = 38087680.

The previous prime is 95772791. The next prime is 95772821. The reversal of 95772800 is 827759.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 77862976 + 17909824 = 8824^2 + 4232^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6920.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 553514 + ... + 553686.

Almost surely, 2^95772800 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 95772800

95772800 is an abundant number, since it is smaller than the sum of its proper divisors (142191415).

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

95772800 is an equidigital number, since it uses as much as digits as its factorization.

95772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 95772800 is about 9786.3578516218. The cubic root of 95772800 is about 457.5241907441.

The spelling of 95772800 in words is "ninety-five million, seven hundred seventy-two thousand, eight hundred".