80512 has 32 divisors (see below), whose sum is σ = 174420. Its totient is φ = 36864.

The previous prime is 80491. The next prime is 80513. The reversal of 80512 is 21508.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 10816 = 264^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×80512³ = 1565680346333184, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (80513) by changing a digit.

80512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2158 + ... + 2194.

2⁸⁰⁵¹² 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 80512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87210).

80512 is an abundant number, since it is smaller than the sum of its proper divisors (93908).

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

80512 is a wasteful number, since it uses less digits than its factorization.

80512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 80512 is about 283.7463656155. The cubic root of 80512 is about 43.1804209403.

The spelling of 80512 in words is "eighty thousand, five hundred twelve".