766566 has 24 divisors (see below), whose sum is σ = 1707264. Its totient is φ = 248400.

The previous prime is 766559. The next prime is 766583. The reversal of 766566 is 665667.

It is a self number, because there is not a number n which added to its sum of digits gives 766566.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766566.

It is an unprimeable number.

766566 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (71136).

2⁷⁶⁶⁵⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853632).

766566 is an abundant number, since it is smaller than the sum of its proper divisors (940698).

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

766566 is a wasteful number, since it uses less digits than its factorization.

766566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1193 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 766566 is about 875.5375491662. The cubic root of 766566 is about 91.5201066626.

The spelling of 766566 in words is "seven hundred sixty-six thousand, five hundred sixty-six".