166780 has 24 divisors (see below), whose sum is σ = 362880. Its totient is φ = 64320.

The previous prime is 166741. The next prime is 166781. The reversal of 166780 is 87661.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166781) by changing a digit.

166780 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 7 ways as a sum of consecutive naturals, for example, 486 + ... + 754.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2¹⁶⁶⁷⁸⁰ is an apocalyptic number.

166780 is a gapful number since it is divisible by the number (10) 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 166780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

166780 is an abundant number, since it is smaller than the sum of its proper divisors (196100).

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

166780 is a wasteful number, since it uses less digits than its factorization.

166780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

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

The square root of 166780 is about 408.3870712939. The cubic root of 166780 is about 55.0445919359.

It can be divided in two parts, 166 and 780, that added together give a triangular number (946 = T₄₃).

The spelling of 166780 in words is "one hundred sixty-six thousand, seven hundred eighty".