768013 has 2 divisors, whose sum is σ = 768014. Its totient is φ = 768012.

The previous prime is 767957. The next prime is 768029. The reversal of 768013 is 310867.

768013 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., 708964 + 59049 = 842^2 + 243^2 .

It is an emirp because it is prime and its reverse (310867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 768013 - 2¹³ = 759821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (768073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384006 + 384007.

It is an arithmetic number, because the mean of its divisors is an integer number (384007).

2⁷⁶⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

768013 is a deficient number, since it is larger than the sum of its proper divisors (1).

768013 is an equidigital number, since it uses as much as digits as its factorization.

768013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 768013 is about 876.3635090532. The cubic root of 768013 is about 91.5776561126.

The spelling of 768013 in words is "seven hundred sixty-eight thousand, thirteen".