766530 has 64 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 191232.

The previous prime is 766511. The next prime is 766531. The reversal of 766530 is 35667.

766530 is a `hidden beast` number, since 7 + 6 + 653 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 766494 and 766503.

It is not an unprimeable number, because it can be changed into a prime (766531) by changing a digit.

766530 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 31 ways as a sum of consecutive naturals, for example, 4507 + ... + 4673.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁷⁶⁶⁵³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

766530 is an abundant number, since it is smaller than the sum of its proper divisors (1410750).

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

766530 is a wasteful number, since it uses less digits than its factorization.

766530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 766530 is about 875.5169901264. The cubic root of 766530 is about 91.5186739634.

It can be divided in two parts, 766 and 530, that added together give a 4-th power (1296 = 6⁴).

The spelling of 766530 in words is "seven hundred sixty-six thousand, five hundred thirty".