83045800 has 48 divisors (see below), whose sum is σ = 193737600. Its totient is φ = 33105600.

The previous prime is 83045791. The next prime is 83045819. The reversal of 83045800 is 854038.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83305 + ... + 84295.

It is an arithmetic number, because the mean of its divisors is an integer number (4036200).

Almost surely, 2^83045800 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 83045800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96868800).

83045800 is an abundant number, since it is smaller than the sum of its proper divisors (110691800).

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

83045800 is a wasteful number, since it uses less digits than its factorization.

83045800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 83045800 is about 9112.9468340378. The cubic root of 83045800 is about 436.2872864631.

Adding to 83045800 its reverse (854038), we get a palindrome (83899838).

It can be divided in two parts, 83045 and 800, that added together give a triangular number (83845 = T₄₀₉).

The spelling of 83045800 in words is "eighty-three million, forty-five thousand, eight hundred".