65800 has 48 divisors (see below), whose sum is σ = 178560. Its totient is φ = 22080.

The previous prime is 65789. The next prime is 65809. The reversal of 65800 is 856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1377 + ... + 1423.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2⁶⁵⁸⁰⁰ 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 65800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

65800 is an abundant number, since it is smaller than the sum of its proper divisors (112760).

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

65800 is a wasteful number, since it uses less digits than its factorization.

65800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 65800 is about 256.5151067676. The cubic root of 65800 is about 40.3715382975.

The spelling of 65800 in words is "sixty-five thousand, eight hundred".