77077437761 has 2 divisors, whose sum is σ = 77077437762. Its totient is φ = 77077437760.

The previous prime is 77077437707. The next prime is 77077437797. The reversal of 77077437761 is 16773477077.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76905827761 + 171610000 = 277319^2 + 13100^2 .

It is a cyclic number.

It is not a de Polignac number, because 77077437761 - 2²⁶ = 77010328897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77077437697 and 77077437706.

It is not a weakly prime, because it can be changed into another prime (77077437361) 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 as a sum of consecutive naturals, namely, 38538718880 + 38538718881.

It is an arithmetic number, because the mean of its divisors is an integer number (38538718881).

Almost surely, 2^77077437761 is an apocalyptic number.

It is an amenable number.

77077437761 is a deficient number, since it is larger than the sum of its proper divisors (1).

77077437761 is an equidigital number, since it uses as much as digits as its factorization.

77077437761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8470728, while the sum is 56.

The spelling of 77077437761 in words is "seventy-seven billion, seventy-seven million, four hundred thirty-seven thousand, seven hundred sixty-one".