77327930241 has 9 divisors (see below), whose sum is σ = 111697104259. Its totient is φ = 51551397336.

The previous prime is 77327930233. The next prime is 77327930287. The reversal of 77327930241 is 14203972377.

The square root of 77327930241 is 278079.

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

77327930241 is a `hidden beast` number, since 7 + 73 + 279 + 302 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7739600625 + 69588329616 = 87975^2 + 263796^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 77327930241 - 2³ = 77327930233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77327930291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 787891 + ... + 880583.

Almost surely, 2^77327930241 is an apocalyptic number.

77327930241 is the 278079-th square number.

77327930241 is the 139040-th centered octagonal number.

It is an amenable number.

77327930241 is a deficient number, since it is larger than the sum of its proper divisors (34369174018).

77327930241 is an frugal number, since it uses more digits than its factorization.

77327930241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185392 (or 92696 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 77327930241 in words is "seventy-seven billion, three hundred twenty-seven million, nine hundred thirty thousand, two hundred forty-one".