80364 has 24 divisors (see below), whose sum is σ = 193648. Its totient is φ = 25920.

The previous prime is 80363. The next prime is 80369. The reversal of 80364 is 46308.

It is a self number, because there is not a number n which added to its sum of digits gives 80364.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80364.

It is not an unprimeable number, because it can be changed into a prime (80363) 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, 354 + ... + 534.

2⁸⁰³⁶⁴ is an apocalyptic number.

It is an amenable number.

80364 is an abundant number, since it is smaller than the sum of its proper divisors (113284).

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 (96824).

80364 is a wasteful number, since it uses less digits than its factorization.

80364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 80364 is about 283.4854493620. The cubic root of 80364 is about 43.1539461201.

It can be divided in two parts, 80 and 364, that added together give a palindrome (444).

The spelling of 80364 in words is "eighty thousand, three hundred sixty-four".