768642857 has 2 divisors, whose sum is σ = 768642858. Its totient is φ = 768642856.

The previous prime is 768642839. The next prime is 768642859. The reversal of 768642857 is 758246867.

768642857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 753557401 + 15085456 = 27451^2 + 3884^2 .

It is a cyclic number.

It is not a de Polignac number, because 768642857 - 2⁶ = 768642793 is a prime.

Together with 768642859, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 768642799 and 768642808.

It is not a weakly prime, because it can be changed into another prime (768642859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384321428 + 384321429.

It is an arithmetic number, because the mean of its divisors is an integer number (384321429).

Almost surely, 2^768642857 is an apocalyptic number.

It is an amenable number.

768642857 is a deficient number, since it is larger than the sum of its proper divisors (1).

768642857 is an equidigital number, since it uses as much as digits as its factorization.

768642857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4515840, while the sum is 53.

The square root of 768642857 is about 27724.4090469031. The cubic root of 768642857 is about 916.0268392974.

The spelling of 768642857 in words is "seven hundred sixty-eight million, six hundred forty-two thousand, eight hundred fifty-seven".