766180 has 24 divisors (see below), whose sum is σ = 1665720. Its totient is φ = 295680.

The previous prime is 766177. The next prime is 766187. The reversal of 766180 is 81667.

766180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 236196 + 529984 = 486^2 + 728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81 + ... + 1240.

It is an arithmetic number, because the mean of its divisors is an integer number (69405).

2⁷⁶⁶¹⁸⁰ is an apocalyptic number.

It is an amenable number.

766180 is an abundant number, since it is smaller than the sum of its proper divisors (899540).

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

766180 is a wasteful number, since it uses less digits than its factorization.

766180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 766180 is about 875.3170854039. The cubic root of 766180 is about 91.5047426051.

It can be divided in two parts, 766 and 180, that added together give a triangular number (946 = T₄₃).

The spelling of 766180 in words is "seven hundred sixty-six thousand, one hundred eighty".