768405 has 16 divisors (see below), whose sum is σ = 1341504. Its totient is φ = 372480.

The previous prime is 768401. The next prime is 768409. The reversal of 768405 is 504867.

It is a happy number.

768405 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (768401) and next prime (768409).

It is not a de Polignac number, because 768405 - 2² = 768401 is a prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2164 + ... + 2493.

It is an arithmetic number, because the mean of its divisors is an integer number (83844).

2⁷⁶⁸⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

768405 is a deficient number, since it is larger than the sum of its proper divisors (573099).

768405 is a wasteful number, since it uses less digits than its factorization.

768405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 768405 is about 876.5871320069. The cubic root of 768405 is about 91.5932341195.

The spelling of 768405 in words is "seven hundred sixty-eight thousand, four hundred five".