95752800 has 576 divisors, whose sum is σ = 419973120. Its totient is φ = 20736000.

The previous prime is 95752763. The next prime is 95752807. The reversal of 95752800 is 825759.

95752800 is a `hidden beast` number, since 9 + 575 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95752807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3088785 + ... + 3088815.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^95752800 is an apocalyptic number.

95752800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

95752800 is an abundant number, since it is smaller than the sum of its proper divisors (324220320).

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

95752800 is a wasteful number, since it uses less digits than its factorization.

95752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 95752800 is about 9785.3359676610. The cubic root of 95752800 is about 457.4923406404.

The spelling of 95752800 in words is "ninety-five million, seven hundred fifty-two thousand, eight hundred".