772737693025 has 9 divisors (see below), whose sum is σ = 958200189523. Its totient is φ = 618186638200.

The previous prime is 772737693011. The next prime is 772737693041. The reversal of 772737693025 is 520396737277.

The square root of 772737693025 is 879055.

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

It can be written as a sum of positive squares in only one way, i.e., 278185569489 + 494552123536 = 527433^2 + 703244^2 .

It is not a de Polignac number, because 772737693025 - 2⁷ = 772737692897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4307370 + ... + 4483180.

Almost surely, 2^772737693025 is an apocalyptic number.

772737693025 is the 879055-th square number.

772737693025 is the 439528-th centered octagonal number.

It is an amenable number.

772737693025 is a deficient number, since it is larger than the sum of its proper divisors (185462496498).

772737693025 is an frugal number, since it uses more digits than its factorization.

772737693025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351632 (or 175816 counting only the distinct ones).

The product of its (nonzero) digits is 23337720, while the sum is 58.

The spelling of 772737693025 in words is "seven hundred seventy-two billion, seven hundred thirty-seven million, six hundred ninety-three thousand, twenty-five".