777600000013 has 2 divisors, whose sum is σ = 777600000014. Its totient is φ = 777600000012.

The previous prime is 777599999971. The next prime is 777600000083. The reversal of 777600000013 is 310000006777.

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., 616685095849 + 160914904164 = 785293^2 + 401142^2 .

It is a cyclic number.

It is not a de Polignac number, because 777600000013 - 2²⁵ = 777566445581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (777600000083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 388800000006 + 388800000007.

It is an arithmetic number, because the mean of its divisors is an integer number (388800000007).

Almost surely, 2^777600000013 is an apocalyptic number.

It is an amenable number.

777600000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

777600000013 is an equidigital number, since it uses as much as digits as its factorization.

777600000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6174, while the sum is 31.

The spelling of 777600000013 in words is "seven hundred seventy-seven billion, six hundred million, thirteen", and thus it is an aban number.