95760000 has 480 divisors, whose sum is σ = 414242400. Its totient is φ = 20736000.

The previous prime is 95759987. The next prime is 95760037. The reversal of 95760000 is 6759.

95760000 is a `hidden beast` number, since 9 + 57 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5039991 + ... + 5040009.

It is an arithmetic number, because the mean of its divisors is an integer number (863005).

Almost surely, 2^95760000 is an apocalyptic number.

95760000 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 95760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207121200).

95760000 is an abundant number, since it is smaller than the sum of its proper divisors (318482400).

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

95760000 is a wasteful number, since it uses less digits than its factorization.

95760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 95760000 is about 9785.7038581801. The cubic root of 95760000 is about 457.5038071886.

Adding to 95760000 its reverse (6759), we get a palindrome (95766759).

It can be divided in two parts, 9 and 5760000, that multiplied together give a square (51840000 = 7200²).

The spelling of 95760000 in words is "ninety-five million, seven hundred sixty thousand".