20776 has 24 divisors (see below), whose sum is σ = 46170. Its totient is φ = 8736.

The previous prime is 20773. The next prime is 20789. The reversal of 20776 is 67702.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 4900 = 126^2 + 70^2 .

It is a plaindrome in base 11.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (20771) 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 5 ways as a sum of consecutive naturals, for example, 366 + ... + 418.

2²⁰⁷⁷⁶ 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 20776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23085).

20776 is an abundant number, since it is smaller than the sum of its proper divisors (25394).

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

20776 is a wasteful number, since it uses less digits than its factorization.

20776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 20776 is about 144.1388219738. The cubic root of 20776 is about 27.4907958178.

The spelling of 20776 in words is "twenty thousand, seven hundred seventy-six".