768209 has 4 divisors (see below), whose sum is σ = 827316. Its totient is φ = 709104.

The previous prime is 768203. The next prime is 768221. The reversal of 768209 is 902867.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 902867 = 7 ⋅128981.

It can be written as a sum of positive squares in 2 ways, for example, as 462400 + 305809 = 680^2 + 553^2 .

It is a cyclic number.

It is not a de Polignac number, because 768209 - 2⁴ = 768193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (768203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29534 + ... + 29559.

It is an arithmetic number, because the mean of its divisors is an integer number (206829).

2⁷⁶⁸²⁰⁹ is an apocalyptic number.

It is an amenable number.

768209 is a deficient number, since it is larger than the sum of its proper divisors (59107).

768209 is a wasteful number, since it uses less digits than its factorization.

768209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59106.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 768209 is about 876.4753276619. The cubic root of 768209 is about 91.5854457785.

The spelling of 768209 in words is "seven hundred sixty-eight thousand, two hundred nine".