77728486768601 has 2 divisors, whose sum is σ = 77728486768602. Its totient is φ = 77728486768600.

The previous prime is 77728486768589. The next prime is 77728486768687. The reversal of 77728486768601 is 10686768482777.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55668744400201 + 22059742368400 = 7461149^2 + 4696780^2 .

It is a cyclic number.

It is not a de Polignac number, because 77728486768601 - 2¹⁰ = 77728486767577 is a prime.

It is not a weakly prime, because it can be changed into another prime (77728486764601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38864243384300 + 38864243384301.

It is an arithmetic number, because the mean of its divisors is an integer number (38864243384301).

Almost surely, 2^{77728486768601} is an apocalyptic number.

It is an amenable number.

77728486768601 is a deficient number, since it is larger than the sum of its proper divisors (1).

77728486768601 is an equidigital number, since it uses as much as digits as its factorization.

77728486768601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2124251136, while the sum is 77.

The spelling of 77728486768601 in words is "seventy-seven trillion, seven hundred twenty-eight billion, four hundred eighty-six million, seven hundred sixty-eight thousand, six hundred one".