772365018649 has 27 divisors (see below), whose sum is σ = 904118379093. Its totient is φ = 657887808312.

The previous prime is 772365018521. The next prime is 772365018661. The reversal of 772365018649 is 946810563277.

The square root of 772365018649 is 878843.

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

772365018649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 772365018649 - 2⁷ = 772365018521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 772365018593 and 772365018602.

It is not an unprimeable number, because it can be changed into a prime (772365010649) 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, 1371873642 + ... + 1371874204.

It is a 1-persistent number, because it is pandigital, but 2⋅772365018649 = 1544730037298 is not.

Almost surely, 2^772365018649 is an apocalyptic number.

772365018649 is the 878843-rd square number.

772365018649 is the 439422-nd centered octagonal number.

It is an amenable number.

772365018649 is a deficient number, since it is larger than the sum of its proper divisors (131753360444).

772365018649 is an frugal number, since it uses more digits than its factorization.

772365018649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 772365018649 in words is "seven hundred seventy-two billion, three hundred sixty-five million, eighteen thousand, six hundred forty-nine".