768338993 has 2 divisors, whose sum is σ = 768338994. Its totient is φ = 768338992.

The previous prime is 768338971. The next prime is 768339023. The reversal of 768338993 is 399833867.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 704530849 + 63808144 = 26543^2 + 7988^2 .

It is an emirp because it is prime and its reverse (399833867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 768338993 - 2¹⁸ = 768076849 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (768338293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384169496 + 384169497.

It is an arithmetic number, because the mean of its divisors is an integer number (384169497).

Almost surely, 2^768338993 is an apocalyptic number.

It is an amenable number.

768338993 is a deficient number, since it is larger than the sum of its proper divisors (1).

768338993 is an equidigital number, since it uses as much as digits as its factorization.

768338993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5878656, while the sum is 56.

The square root of 768338993 is about 27718.9284244539. The cubic root of 768338993 is about 915.9061138463.

The spelling of 768338993 in words is "seven hundred sixty-eight million, three hundred thirty-eight thousand, nine hundred ninety-three".