766456863217 has 2 divisors, whose sum is σ = 766456863218. Its totient is φ = 766456863216.

The previous prime is 766456863173. The next prime is 766456863241. The reversal of 766456863217 is 712368654667.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 612962160561 + 153494702656 = 782919^2 + 391784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-766456863217 is a prime.

It is a super-3 number, since 3×766456863217³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (766456863247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 383228431608 + 383228431609.

It is an arithmetic number, because the mean of its divisors is an integer number (383228431609).

Almost surely, 2^766456863217 is an apocalyptic number.

It is an amenable number.

766456863217 is a deficient number, since it is larger than the sum of its proper divisors (1).

766456863217 is an equidigital number, since it uses as much as digits as its factorization.

766456863217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60963840, while the sum is 61.

The spelling of 766456863217 in words is "seven hundred sixty-six billion, four hundred fifty-six million, eight hundred sixty-three thousand, two hundred seventeen".