766105 has 8 divisors (see below), whose sum is σ = 973512. Its totient is φ = 576768.

The previous prime is 766097. The next prime is 766109. The reversal of 766105 is 501667.

766105 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 145161 + 620944 = 381^2 + 788^2 .

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 766105 - 2³ = 766097 is a prime.

It is a Duffinian number.

766105 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 766105.

It is not an unprimeable number, because it can be changed into a prime (766109) 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, 4422 + ... + 4591.

It is an arithmetic number, because the mean of its divisors is an integer number (121689).

2⁷⁶⁶¹⁰⁵ is an apocalyptic number.

It is an amenable number.

766105 is a deficient number, since it is larger than the sum of its proper divisors (207407).

766105 is a wasteful number, since it uses less digits than its factorization.

766105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9035.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 766105 is about 875.2742427377. The cubic root of 766105 is about 91.5017567620.

The spelling of 766105 in words is "seven hundred sixty-six thousand, one hundred five".