765906 has 16 divisors (see below), whose sum is σ = 1547424. Its totient is φ = 252704.

The previous prime is 765899. The next prime is 765907. The reversal of 765906 is 609567.

It is a super-3 number, since 3×765906³ = 1347868953336892248, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (765907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (96714).

2⁷⁶⁵⁹⁰⁶ is an apocalyptic number.

765906 is the 554-th centered pentagonal number.

765906 is an abundant number, since it is smaller than the sum of its proper divisors (781518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

765906 is a wasteful number, since it uses less digits than its factorization.

765906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 765906 is about 875.1605566980. The cubic root of 765906 is about 91.4938333806.

The spelling of 765906 in words is "seven hundred sixty-five thousand, nine hundred six".