220776 has 16 divisors (see below), whose sum is σ = 552000. Its totient is φ = 73584.

The previous prime is 220771. The next prime is 220783. The reversal of 220776 is 677022.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9199 = 220776 / (2 + 2 + 0 + 7 + 7 + 6).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220776.

It is not an unprimeable number, because it can be changed into a prime (220771) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4576 + ... + 4623.

It is an arithmetic number, because the mean of its divisors is an integer number (34500).

2²²⁰⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

220776 is an abundant number, since it is smaller than the sum of its proper divisors (331224).

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

220776 is a wasteful number, since it uses less digits than its factorization.

220776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9208 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 220776 is about 469.8680665889. The cubic root of 220776 is about 60.4390023375.

Adding to 220776 its reverse (677022), we get a palindrome (897798).

The spelling of 220776 in words is "two hundred twenty thousand, seven hundred seventy-six".