76506065271300 has 288 divisors, whose sum is σ = 257302271600640. Its totient is φ = 17188409318400.

The previous prime is 76506065271289. The next prime is 76506065271323. The reversal of 76506065271300 is 317256060567.

76506065271300 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 76506065271300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1029695752 + ... + 1029770048.

It is an arithmetic number, because the mean of its divisors is an integer number (893410665280).

Almost surely, 2^{76506065271300} is an apocalyptic number.

76506065271300 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 76506065271300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128651135800320).

76506065271300 is an abundant number, since it is smaller than the sum of its proper divisors (180796206329340).

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

76506065271300 is a wasteful number, since it uses less digits than its factorization.

76506065271300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82691 (or 82684 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 76506065271300 in words is "seventy-six trillion, five hundred six billion, sixty-five million, two hundred seventy-one thousand, three hundred".