766360 has 96 divisors (see below), whose sum is σ = 2216160. Its totient is φ = 236544.

The previous prime is 766357. The next prime is 766361. The reversal of 766360 is 63667.

766360 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 (28).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33309 + ... + 33331.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2⁷⁶⁶³⁶⁰ is an apocalyptic number.

766360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108080).

766360 is an abundant number, since it is smaller than the sum of its proper divisors (1449800).

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

766360 is a wasteful number, since it uses less digits than its factorization.

766360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 766360 is about 875.4198992484. The cubic root of 766360 is about 91.5119078334.

The spelling of 766360 in words is "seven hundred sixty-six thousand, three hundred sixty".