777780013 has 2 divisors, whose sum is σ = 777780014. Its totient is φ = 777780012.

The previous prime is 777779957. The next prime is 777780037. The reversal of 777780013 is 310087777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 709849449 + 67930564 = 26643^2 + 8242^2 .

It is a cyclic number.

It is not a de Polignac number, because 777780013 - 2⁹ = 777779501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (777780053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 388890006 + 388890007.

It is an arithmetic number, because the mean of its divisors is an integer number (388890007).

Almost surely, 2^777780013 is an apocalyptic number.

It is an amenable number.

777780013 is a deficient number, since it is larger than the sum of its proper divisors (1).

777780013 is an equidigital number, since it uses as much as digits as its factorization.

777780013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57624, while the sum is 40.

The square root of 777780013 is about 27888.7076251303. The cubic root of 777780013 is about 919.6422730989.

It can be divided in two parts, 77778001 and 3, that multiplied together give a triangular number (233334003 = T₂₁₆₀₂).

The spelling of 777780013 in words is "seven hundred seventy-seven million, seven hundred eighty thousand, thirteen".