83308800 has 108 divisors (see below), whose sum is σ = 274999760. Its totient is φ = 22210560.

The previous prime is 83308781. The next prime is 83308831. The reversal of 83308800 is 880338.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17031 + ... + 21369.

Almost surely, 2^83308800 is an apocalyptic number.

83308800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137499880).

83308800 is an abundant number, since it is smaller than the sum of its proper divisors (191690960).

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

83308800 is a wasteful number, since it uses less digits than its factorization.

83308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 83308800 is about 9127.3654468308. The cubic root of 83308800 is about 436.7473644796.

The spelling of 83308800 in words is "eighty-three million, three hundred eight thousand, eight hundred".