168780 has 48 divisors (see below), whose sum is σ = 493920. Its totient is φ = 43008.

The previous prime is 168769. The next prime is 168781. The reversal of 168780 is 87861.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168781) by changing a digit.

168780 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 15 ways as a sum of consecutive naturals, for example, 1692 + ... + 1788.

It is an arithmetic number, because the mean of its divisors is an integer number (10290).

2¹⁶⁸⁷⁸⁰ is an apocalyptic number.

168780 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 168780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246960).

168780 is an abundant number, since it is smaller than the sum of its proper divisors (325140).

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

168780 is a wasteful number, since it uses less digits than its factorization.

168780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 168780 is about 410.8284313433. The cubic root of 168780 is about 55.2637469802.

The spelling of 168780 in words is "one hundred sixty-eight thousand, seven hundred eighty".