83745800 has 48 divisors (see below), whose sum is σ = 199989060. Its totient is φ = 32590080.

The previous prime is 83745799. The next prime is 83745803. The reversal of 83745800 is 854738.

It can be written as a sum of positive squares in 6 ways, for example, as 71537764 + 12208036 = 8458^2 + 3494^2 .

It is not an unprimeable number, because it can be changed into a prime (83745803) 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, 1742 + ... + 13058.

Almost surely, 2^83745800 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 83745800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99994530).

83745800 is an abundant number, since it is smaller than the sum of its proper divisors (116243260).

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

83745800 is a wasteful number, since it uses less digits than its factorization.

83745800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11370 (or 11361 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 83745800 is about 9151.2731354714. The cubic root of 83745800 is about 437.5096923023.

The spelling of 83745800 in words is "eighty-three million, seven hundred forty-five thousand, eight hundred".