76536000 has 168 divisors, whose sum is σ = 274039584. Its totient is φ = 20390400.

The previous prime is 76535983. The next prime is 76536037. The reversal of 76536000 is 63567.

76536000 is a `hidden beast` number, since 7 + 6 + 53 + 600 + 0 = 666.

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, 71469 + ... + 72531.

It is an arithmetic number, because the mean of its divisors is an integer number (1631188).

Almost surely, 2^76536000 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 76536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137019792).

76536000 is an abundant number, since it is smaller than the sum of its proper divisors (197503584).

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

76536000 is a wasteful number, since it uses less digits than its factorization.

76536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 76536000 is about 8748.4855832310. The cubic root of 76536000 is about 424.5758166804.

Adding to 76536000 its reverse (63567), we get a palindrome (76599567).

The spelling of 76536000 in words is "seventy-six million, five hundred thirty-six thousand".