80704 has 28 divisors (see below), whose sum is σ = 174244. Its totient is φ = 36864.

The previous prime is 80701. The next prime is 80713. The reversal of 80704 is 40708.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 57600 = 152^2 + 240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 784 + ... + 880.

It is an arithmetic number, because the mean of its divisors is an integer number (6223).

2⁸⁰⁷⁰⁴ 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 80704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87122).

80704 is an abundant number, since it is smaller than the sum of its proper divisors (93540).

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

80704 is a wasteful number, since it uses less digits than its factorization.

80704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

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

The square root of 80704 is about 284.0844944730. The cubic root of 80704 is about 43.2147183502.

It can be divided in two parts, 80 and 704, that added together give a square (784 = 28²).

The spelling of 80704 in words is "eighty thousand, seven hundred four".