16780 has 12 divisors (see below), whose sum is σ = 35280. Its totient is φ = 6704.

The previous prime is 16763. The next prime is 16787. The reversal of 16780 is 8761.

It is an Ulam number.

It is a nialpdrome in base 7 and base 12.

It is not an unprimeable number, because it can be changed into a prime (16787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 400 + ... + 439.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2¹⁶⁷⁸⁰ is an apocalyptic number.

16780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16780 is an abundant number, since it is smaller than the sum of its proper divisors (18500).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640).

16780 is a wasteful number, since it uses less digits than its factorization.

16780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 16780 is about 129.5376393177. The cubic root of 16780 is about 25.6014159373.

The spelling of 16780 in words is "sixteen thousand, seven hundred eighty".