766506 has 32 divisors (see below), whose sum is σ = 1709568. Its totient is φ = 227520.

The previous prime is 766501. The next prime is 766511. The reversal of 766506 is 605667.

766506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (766501) and next prime (766511).

It is not an unprimeable number, because it can be changed into a prime (766501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2260 + ... + 2576.

It is an arithmetic number, because the mean of its divisors is an integer number (53424).

2⁷⁶⁶⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854784).

766506 is an abundant number, since it is smaller than the sum of its proper divisors (943062).

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

766506 is a wasteful number, since it uses less digits than its factorization.

766506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 766506 is about 875.5032838316. The cubic root of 766506 is about 91.5177188057.

The spelling of 766506 in words is "seven hundred sixty-six thousand, five hundred six".