80388 has 72 divisors (see below), whose sum is σ = 262080. Its totient is φ = 20160.

The previous prime is 80387. The next prime is 80407. The reversal of 80388 is 88308.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (80387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2758 + ... + 2786.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2⁸⁰³⁸⁸ 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 80388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

80388 is an abundant number, since it is smaller than the sum of its proper divisors (181692).

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

80388 is a wasteful number, since it uses less digits than its factorization.

80388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 80388 is about 283.5277764171. The cubic root of 80388 is about 43.1582415410.

The spelling of 80388 in words is "eighty thousand, three hundred eighty-eight".