77757528368401 has 12 divisors (see below), whose sum is σ = 93571691423220. Its totient is φ = 64351057958880.

The previous prime is 77757528368393. The next prime is 77757528368423. The reversal of 77757528368401 is 10486382575777.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26057186181376 + 51700342187025 = 5104624^2 + 7190295^2 .

It is not a de Polignac number, because 77757528368401 - 2³ = 77757528368393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77757528368461) 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 in 11 ways as a sum of consecutive naturals, for example, 27360142270 + ... + 27360145111.

It is an arithmetic number, because the mean of its divisors is an integer number (7797640951935).

Almost surely, 2^{77757528368401} is an apocalyptic number.

It is an amenable number.

77757528368401 is a deficient number, since it is larger than the sum of its proper divisors (15814163054819).

77757528368401 is a wasteful number, since it uses less digits than its factorization.

77757528368401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54720287424 (or 54720287417 counting only the distinct ones).

The product of its (nonzero) digits is 553190400, while the sum is 70.

The spelling of 77757528368401 in words is "seventy-seven trillion, seven hundred fifty-seven billion, five hundred twenty-eight million, three hundred sixty-eight thousand, four hundred one".