766005 has 16 divisors (see below), whose sum is σ = 1236480. Its totient is φ = 404928.

The previous prime is 765991. The next prime is 766021. The reversal of 766005 is 500667.

766005 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 766005 - 2⁸ = 765749 is a prime.

766005 is strictly pandigital in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3231 + ... + 3459.

It is an arithmetic number, because the mean of its divisors is an integer number (77280).

2⁷⁶⁶⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

766005 is a deficient number, since it is larger than the sum of its proper divisors (470475).

766005 is a wasteful number, since it uses less digits than its factorization.

766005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 766005 is about 875.2171159204. The cubic root of 766005 is about 91.4977753348.

The spelling of 766005 in words is "seven hundred sixty-six thousand, five".