777006676993 has 2 divisors, whose sum is σ = 777006676994. Its totient is φ = 777006676992.

The previous prime is 777006676969. The next prime is 777006677009. The reversal of 777006676993 is 399676600777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 752648207809 + 24358469184 = 867553^2 + 156072^2 .

It is a cyclic number.

It is not a de Polignac number, because 777006676993 - 2¹⁷ = 777006545921 is a prime.

It is not a weakly prime, because it can be changed into another prime (777006676393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 388503338496 + 388503338497.

It is an arithmetic number, because the mean of its divisors is an integer number (388503338497).

Almost surely, 2^777006676993 is an apocalyptic number.

It is an amenable number.

777006676993 is a deficient number, since it is larger than the sum of its proper divisors (1).

777006676993 is an equidigital number, since it uses as much as digits as its factorization.

777006676993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126023688, while the sum is 67.

The spelling of 777006676993 in words is "seven hundred seventy-seven billion, six million, six hundred seventy-six thousand, nine hundred ninety-three".