77734617555073 has 2 divisors, whose sum is σ = 77734617555074. Its totient is φ = 77734617555072.

The previous prime is 77734617555041. The next prime is 77734617555131. The reversal of 77734617555073 is 37055571643777.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39364732353424 + 38369885201649 = 6274132^2 + 6194343^2 .

It is a cyclic number.

It is not a de Polignac number, because 77734617555073 - 2⁵ = 77734617555041 is a prime.

It is not a weakly prime, because it can be changed into another prime (77734617555373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38867308777536 + 38867308777537.

It is an arithmetic number, because the mean of its divisors is an integer number (38867308777537).

Almost surely, 2^{77734617555073} is an apocalyptic number.

It is an amenable number.

77734617555073 is a deficient number, since it is larger than the sum of its proper divisors (1).

77734617555073 is an equidigital number, since it uses as much as digits as its factorization.

77734617555073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453789000, while the sum is 67.

The spelling of 77734617555073 in words is "seventy-seven trillion, seven hundred thirty-four billion, six hundred seventeen million, five hundred fifty-five thousand, seventy-three".