83005800 has 96 divisors (see below), whose sum is σ = 264343200. Its totient is φ = 21530880.

The previous prime is 83005799. The next prime is 83005823. The reversal of 83005800 is 850038.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20331 + ... + 24069.

It is an arithmetic number, because the mean of its divisors is an integer number (2753575).

Almost surely, 2^83005800 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 83005800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132171600).

83005800 is an abundant number, since it is smaller than the sum of its proper divisors (181337400).

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

83005800 is a wasteful number, since it uses less digits than its factorization.

83005800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 83005800 is about 9110.7518899375. The cubic root of 83005800 is about 436.2172275554.

Adding to 83005800 its reverse (850038), we get a palindrome (83855838).

The spelling of 83005800 in words is "eighty-three million, five thousand, eight hundred".