768767 has 2 divisors, whose sum is σ = 768768. Its totient is φ = 768766.

The previous prime is 768751. The next prime is 768773. The reversal of 768767 is 767867.

It is a strong prime.

It is an emirp because it is prime and its reverse (767867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 768767 - 2⁴ = 768751 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (768727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384383 + 384384.

It is an arithmetic number, because the mean of its divisors is an integer number (384384).

2⁷⁶⁸⁷⁶⁷ is an apocalyptic number.

768767 is a deficient number, since it is larger than the sum of its proper divisors (1).

768767 is an equidigital number, since it uses as much as digits as its factorization.

768767 is an evil number, because the sum of its binary digits is even.

The product of its digits is 98784, while the sum is 41.

The square root of 768767 is about 876.7935903050. The cubic root of 768767 is about 91.6076152272.

Subtracting from 768767 its reverse (767867), we obtain a square (900 = 30²).

The spelling of 768767 in words is "seven hundred sixty-eight thousand, seven hundred sixty-seven".