766260 has 120 divisors (see below), whose sum is σ = 2683296. Its totient is φ = 181440.

The previous prime is 766247. The next prime is 766261. The reversal of 766260 is 62667.

766260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766261) by changing a digit.

766260 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 39 ways as a sum of consecutive naturals, for example, 17799 + ... + 17841.

2⁷⁶⁶²⁶⁰ 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 766260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341648).

766260 is an abundant number, since it is smaller than the sum of its proper divisors (1917036).

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

766260 is a wasteful number, since it uses less digits than its factorization.

766260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 766260 is about 875.3627819367. The cubic root of 766260 is about 91.5079272895.

It can be divided in two parts, 76 and 6260, that added together give a palindrome (6336).

The spelling of 766260 in words is "seven hundred sixty-six thousand, two hundred sixty".