766506771 has 12 divisors (see below), whose sum is σ = 1107540720. Its totient is φ = 510836400.

The previous prime is 766506749. The next prime is 766506779. The reversal of 766506771 is 177605667.

766506771 is a `hidden beast` number, since 76 + 6 + 506 + 7 + 71 = 666.

It is not a de Polignac number, because 766506771 - 2¹⁷ = 766375699 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (766506779) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18946 + ... + 43496.

It is an arithmetic number, because the mean of its divisors is an integer number (92295060).

Almost surely, 2^766506771 is an apocalyptic number.

766506771 is a deficient number, since it is larger than the sum of its proper divisors (341033949).

766506771 is a wasteful number, since it uses less digits than its factorization.

766506771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28026 (or 28023 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 766506771 is about 27685.8586827283. The cubic root of 766506771 is about 915.1774949047.

The spelling of 766506771 in words is "seven hundred sixty-six million, five hundred six thousand, seven hundred seventy-one".