8784 has 30 divisors (see below), whose sum is σ = 24986. Its totient is φ = 2880.

The previous prime is 8783. The next prime is 8803. The reversal of 8784 is 4878.

It is a happy number.

8784 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 5184 + 3600 = 72^2 + 60^2 .

8784 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 11 and base 12.

It is a zygodrome in base 3 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8783) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114 + ... + 174.

2⁸⁷⁸⁴ 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 8784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12493).

8784 is an abundant number, since it is smaller than the sum of its proper divisors (16202).

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

8784 is a wasteful number, since it uses less digits than its factorization.

8784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 66 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 8784 is about 93.7229961109. The cubic root of 8784 is about 20.6330822319.

It can be divided in two parts, 87 and 84, that added together give a palindrome (171).

The spelling of 8784 in words is "eight thousand, seven hundred eighty-four".