360800 has 72 divisors (see below), whose sum is σ = 984312. Its totient is φ = 128000.

The previous prime is 360781. The next prime is 360803. The reversal of 360800 is 8063.

360800 = 20³ + 21³ + ... + 35³.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360803) 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, 8780 + ... + 8820.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2³⁶⁰⁸⁰⁰ 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 360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492156).

360800 is an abundant number, since it is smaller than the sum of its proper divisors (623512).

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

360800 is a wasteful number, since it uses less digits than its factorization.

360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

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

The square root of 360800 is about 600.6662967072. Note that the first 3 decimals coincide. The cubic root of 360800 is about 71.1905218204.

Adding to 360800 its reverse (8063), we get a palindrome (368863).

The spelling of 360800 in words is "three hundred sixty thousand, eight hundred".