766009 has 8 divisors (see below), whose sum is σ = 793800. Its totient is φ = 738816.

The previous prime is 765991. The next prime is 766021. The reversal of 766009 is 900667.

766009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 714025 = 228^2 + 845^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 766009 - 2⁷ = 765881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (766039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5067 + ... + 5215.

It is an arithmetic number, because the mean of its divisors is an integer number (99225).

2⁷⁶⁶⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

766009 is a deficient number, since it is larger than the sum of its proper divisors (27791).

766009 is a wasteful number, since it uses less digits than its factorization.

766009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 766009 is about 875.2194010647. The cubic root of 766009 is about 91.4979345986.

The spelling of 766009 in words is "seven hundred sixty-six thousand, nine".