80052 has 24 divisors (see below), whose sum is σ = 213696. Its totient is φ = 22848.

The previous prime is 80051. The next prime is 80071. The reversal of 80052 is 25008.

It is a plaindrome in base 15.

It is a congruent 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, 393 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (8904).

2⁸⁰⁰⁵² is an apocalyptic number.

It is an amenable number.

80052 is an abundant number, since it is smaller than the sum of its proper divisors (133644).

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 (106848).

80052 is a wasteful number, since it uses less digits than its factorization.

80052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 80052 is about 282.9346214234. The cubic root of 80052 is about 43.0980276622.

The spelling of 80052 in words is "eighty thousand, fifty-two".