77757304200769 has 2 divisors, whose sum is σ = 77757304200770. Its totient is φ = 77757304200768.

The previous prime is 77757304200743. The next prime is 77757304200781. The reversal of 77757304200769 is 96700240375777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72604458680625 + 5152845520144 = 8520825^2 + 2269988^2 .

It is a cyclic number.

It is not a de Polignac number, because 77757304200769 - 2¹⁵ = 77757304168001 is a prime.

It is a super-2 number, since 2×77757304200769² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77757304200769.

It is not a weakly prime, because it can be changed into another prime (77727304200769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38878652100384 + 38878652100385.

It is an arithmetic number, because the mean of its divisors is an integer number (38878652100385).

Almost surely, 2^{77757304200769} is an apocalyptic number.

It is an amenable number.

77757304200769 is a deficient number, since it is larger than the sum of its proper divisors (1).

77757304200769 is an equidigital number, since it uses as much as digits as its factorization.

77757304200769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108909360, while the sum is 64.

The spelling of 77757304200769 in words is "seventy-seven trillion, seven hundred fifty-seven billion, three hundred four million, two hundred thousand, seven hundred sixty-nine".