766656 has 84 divisors (see below), whose sum is σ = 2417064. Its totient is φ = 232320.

The previous prime is 766651. The next prime is 766679. The reversal of 766656 is 656667.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×766656² = 1175522844672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (45360) is a multiple of the sum of its prime divisors (16).

It is a self number, because there is not a number n which added to its sum of digits gives 766656.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766656.

It is not an unprimeable number, because it can be changed into a prime (766651) by changing a digit.

766656 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 11 ways as a sum of consecutive naturals, for example, 69691 + ... + 69701.

2⁷⁶⁶⁶⁵⁶ 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 766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208532).

766656 is an abundant number, since it is smaller than the sum of its proper divisors (1650408).

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

766656 is a wasteful number, since it uses less digits than its factorization.

766656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 16 counting only the distinct ones).

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

The square root of 766656 is about 875.5889446538. The cubic root of 766656 is about 91.5236882143.

The spelling of 766656 in words is "seven hundred sixty-six thousand, six hundred fifty-six".