80360 has 48 divisors (see below), whose sum is σ = 215460. Its totient is φ = 26880.

The previous prime is 80347. The next prime is 80363. The reversal of 80360 is 6308.

80360 = T₃₁ + T₃₂ + ... + T₇₉.

80360 = 15² + 16² + ... + 62².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70756 + 9604 = 266^2 + 98^2 .

80360 is a modest number, since divided by 360 gives 80 as remainder.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1940 + ... + 1980.

2⁸⁰³⁶⁰ is an apocalyptic number.

80360 is the 164-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107730).

80360 is an abundant number, since it is smaller than the sum of its proper divisors (135100).

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

80360 is a wasteful number, since it uses less digits than its factorization.

80360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 80360 is about 283.4783942384. The cubic root of 80360 is about 43.1532301334.

Adding to 80360 its reverse (6308), we get a palindrome (86668).

The spelling of 80360 in words is "eighty thousand, three hundred sixty".