77274548289 has 45 divisors (see below), whose sum is σ = 117438187251. Its totient is φ = 50637383280.

The previous prime is 77274548257. The next prime is 77274548297. The reversal of 77274548289 is 98284547277.

The square root of 77274548289 is 277983.

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

77274548289 is a `hidden beast` number, since 7 + 7 + 2 + 7 + 4 + 548 + 2 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24769408689 + 52505139600 = 157383^2 + 229140^2 .

It is not a de Polignac number, because 77274548289 - 2⁵ = 77274548257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77274548089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 167623519 + ... + 167623979.

Almost surely, 2^77274548289 is an apocalyptic number.

77274548289 is the 277983-rd square number.

77274548289 is the 138992-nd centered octagonal number.

It is an amenable number.

77274548289 is a deficient number, since it is larger than the sum of its proper divisors (40163638962).

77274548289 is an frugal number, since it uses more digits than its factorization.

77274548289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 531 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 77274548289 in words is "seventy-seven billion, two hundred seventy-four million, five hundred forty-eight thousand, two hundred eighty-nine".