77825934729 has 45 divisors (see below), whose sum is σ = 117628375293. Its totient is φ = 51279700968.

The previous prime is 77825934727. The next prime is 77825934763. The reversal of 77825934729 is 92743952877.

The square root of 77825934729 is 278973.

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

77825934729 is a `hidden beast` number, since 7 + 78 + 2 + 5 + 93 + 472 + 9 = 666.

It is not a de Polignac number, because 77825934729 - 2¹ = 77825934727 is a prime.

It is a super-2 number, since 2×77825934729² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77825934721) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 348995112 + ... + 348995334.

Almost surely, 2^77825934729 is an apocalyptic number.

77825934729 is the 278973-rd square number.

77825934729 is the 139487-th centered octagonal number.

It is an amenable number.

77825934729 is a deficient number, since it is larger than the sum of its proper divisors (39802440564).

77825934729 is an frugal number, since it uses more digits than its factorization.

77825934729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 365 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 77825934729 in words is "seventy-seven billion, eight hundred twenty-five million, nine hundred thirty-four thousand, seven hundred twenty-nine".