766736653225 has 27 divisors (see below), whose sum is σ = 964357864293. Its totient is φ = 604734546240.

The previous prime is 766736653219. The next prime is 766736653229. The reversal of 766736653225 is 522356637667.

The square root of 766736653225 is 875635.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4195541529 + 762541111696 = 64773^2 + 873236^2 .

It is not a de Polignac number, because 766736653225 - 2³ = 766736653217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 766736653225.

It is not an unprimeable number, because it can be changed into a prime (766736653229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 319605576 + ... + 319607974.

Almost surely, 2^766736653225 is an apocalyptic number.

766736653225 is the 875635-th square number.

766736653225 is the 437818-th centered octagonal number.

It is an amenable number.

766736653225 is a deficient number, since it is larger than the sum of its proper divisors (197621211068).

766736653225 is an frugal number, since it uses more digits than its factorization.

766736653225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 2477 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 58.

The spelling of 766736653225 in words is "seven hundred sixty-six billion, seven hundred thirty-six million, six hundred fifty-three thousand, two hundred twenty-five".