766527053127 has 16 divisors (see below), whose sum is σ = 1115041386240. Its totient is φ = 464523123200.

The previous prime is 766527053107. The next prime is 766527053167. The reversal of 766527053127 is 721350725667.

766527053127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 766527053127 - 2⁸ = 766527052871 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 766527053127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766527053107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563802 + ... + 1360487.

It is an arithmetic number, because the mean of its divisors is an integer number (69690086640).

Almost surely, 2^766527053127 is an apocalyptic number.

766527053127 is a deficient number, since it is larger than the sum of its proper divisors (348514333113).

766527053127 is a wasteful number, since it uses less digits than its factorization.

766527053127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936374.

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 766527053127 in words is "seven hundred sixty-six billion, five hundred twenty-seven million, fifty-three thousand, one hundred twenty-seven".