80784 has 80 divisors (see below), whose sum is σ = 267840. Its totient is φ = 23040.

The previous prime is 80783. The next prime is 80789. The reversal of 80784 is 48708.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4744 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

2⁸⁰⁷⁸⁴ 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 80784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

80784 is an abundant number, since it is smaller than the sum of its proper divisors (187056).

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

80784 is a wasteful number, since it uses less digits than its factorization.

80784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 33 counting only the distinct ones).

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

The square root of 80784 is about 284.2252627758. The cubic root of 80784 is about 43.2289928833.

80784 divided by its sum of digits (27) gives a palindrome (2992).

The spelling of 80784 in words is "eighty thousand, seven hundred eighty-four".