76520505600 has 1728 divisors, whose sum is σ = 359137013760. Its totient is φ = 15676416000.

The previous prime is 76520505599. The next prime is 76520505613. The reversal of 76520505600 is 650502567.

76520505600 is a `hidden beast` number, since 76 + 5 + 20 + 5 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1077753565 + ... + 1077753635.

It is an arithmetic number, because the mean of its divisors is an integer number (207833920).

Almost surely, 2^76520505600 is an apocalyptic number.

76520505600 is a gapful number since it is divisible by the number (70) 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 76520505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179568506880).

76520505600 is an abundant number, since it is smaller than the sum of its proper divisors (282616508160).

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

76520505600 is an equidigital number, since it uses as much as digits as its factorization.

76520505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 76520505600 in words is "seventy-six billion, five hundred twenty million, five hundred five thousand, six hundred".