768641 has 2 divisors, whose sum is σ = 768642. Its totient is φ = 768640.

The previous prime is 768631. The next prime is 768643. The reversal of 768641 is 146867.

768641 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., 758641 + 10000 = 871^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 768641 - 2¹⁰ = 767617 is a prime.

Together with 768643, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 768598 and 768607.

It is not a weakly prime, because it can be changed into another prime (768643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384320 + 384321.

It is an arithmetic number, because the mean of its divisors is an integer number (384321).

768641 is a Friedman number, since it can be written as 8^6*4-6^7+1, using all its digits and the basic arithmetic operations.

2⁷⁶⁸⁶⁴¹ is an apocalyptic number.

It is an amenable number.

768641 is a deficient number, since it is larger than the sum of its proper divisors (1).

768641 is an equidigital number, since it uses as much as digits as its factorization.

768641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 32.

The square root of 768641 is about 876.7217346456. The cubic root of 768641 is about 91.6026101606.

The spelling of 768641 in words is "seven hundred sixty-eight thousand, six hundred forty-one".