768300209 has 2 divisors, whose sum is σ = 768300210. Its totient is φ = 768300208.

The previous prime is 768300167. The next prime is 768300241. The reversal of 768300209 is 902003867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 677040400 + 91259809 = 26020^2 + 9553^2 .

It is a cyclic number.

It is not a de Polignac number, because 768300209 - 2¹⁶ = 768234673 is a prime.

It is a super-2 number, since 2×768300209² = 1180570422298887362, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (768300259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384150104 + 384150105.

It is an arithmetic number, because the mean of its divisors is an integer number (384150105).

Almost surely, 2^768300209 is an apocalyptic number.

It is an amenable number.

768300209 is a deficient number, since it is larger than the sum of its proper divisors (1).

768300209 is an equidigital number, since it uses as much as digits as its factorization.

768300209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 768300209 is about 27718.2288214814. The cubic root of 768300209 is about 915.8907026364.

The spelling of 768300209 in words is "seven hundred sixty-eight million, three hundred thousand, two hundred nine".