32780 has 24 divisors (see below), whose sum is σ = 75600. Its totient is φ = 11840.

The previous prime is 32779. The next prime is 32783. The reversal of 32780 is 8723.

32780 = T₁₁₂ + T₁₁₃ + ... + T₁₁₆.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 3 + 2 + 7 + 8⁵ + 0 .

It is not an unprimeable number, because it can be changed into a prime (32783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146 + ... + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2³²⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

32780 is an abundant number, since it is smaller than the sum of its proper divisors (42820).

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

32780 is a wasteful number, since it uses less digits than its factorization.

32780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 32780 is about 181.0524785801. The cubic root of 32780 is about 32.0039057733.

The spelling of 32780 in words is "thirty-two thousand, seven hundred eighty".