766568 has 32 divisors (see below), whose sum is σ = 1624320. Its totient is φ = 336000.

The previous prime is 766559. The next prime is 766583. The reversal of 766568 is 865667.

766568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766568.

It is an unprimeable number.

766568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2588 + ... + 2868.

It is an arithmetic number, because the mean of its divisors is an integer number (50760).

2⁷⁶⁶⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812160).

766568 is an abundant number, since it is smaller than the sum of its proper divisors (857752).

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

766568 is a wasteful number, since it uses less digits than its factorization.

766568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 766568 is about 875.5386913209. The cubic root of 766568 is about 91.5201862557.

Subtracting 766568 from its reverse (865667), we obtain a palindrome (99099).

The spelling of 766568 in words is "seven hundred sixty-six thousand, five hundred sixty-eight".