80058 has 16 divisors (see below), whose sum is σ = 174816. Its totient is φ = 24240.

The previous prime is 80051. The next prime is 80071. The reversal of 80058 is 85008.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (80051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (10926).

2⁸⁰⁰⁵⁸ is an apocalyptic number.

80058 is an abundant number, since it is smaller than the sum of its proper divisors (94758).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87408).

80058 is a wasteful number, since it uses less digits than its factorization.

80058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 80058 is about 282.9452243810. The cubic root of 80058 is about 43.0991043862.

Subtracting 80058 from its reverse (85008), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 800 and 58, that added together give a palindrome (858).

The spelling of 80058 in words is "eighty thousand, fifty-eight".