220780 has 48 divisors (see below), whose sum is σ = 564480. Its totient is φ = 70848.

The previous prime is 220771. The next prime is 220783. The reversal of 220780 is 87022.

220780 = T₃₅ + T₃₆ + ... + T₁₁₀.

220780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

220780 is a nontrivial binomial coefficient, being equal to C(665, 2).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (220783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2619 + ... + 2701.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2²²⁰⁷⁸⁰ is an apocalyptic number.

220780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

220780 is the 664-th triangular number.

220780 is the 222-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

220780 is an abundant number, since it is smaller than the sum of its proper divisors (343700).

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

220780 is a wasteful number, since it uses less digits than its factorization.

220780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 220780 is about 469.8723230836. The cubic root of 220780 is about 60.4393673448.

It can be divided in two parts, 220 and 780, that added together give a cube (1000 = 10³).

The spelling of 220780 in words is "two hundred twenty thousand, seven hundred eighty".