9082800 has 180 divisors, whose sum is σ = 33481240. Its totient is φ = 2338560.

The previous prime is 9082793. The next prime is 9082813. The reversal of 9082800 is 82809.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 313186 + ... + 313214.

Almost surely, 2^9082800 is an apocalyptic number.

9082800 is a gapful number since it is divisible by the number (90) 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 9082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740620).

9082800 is an abundant number, since it is smaller than the sum of its proper divisors (24398440).

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

9082800 is a wasteful number, since it uses less digits than its factorization.

9082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9082800 is about 3013.7684051698. The cubic root of 9082800 is about 208.6443284118.

Multiplying 9082800 by its sum of digits (27), we get a square (245235600 = 15660²).

9082800 divided by its sum of digits (27) gives a square (336400 = 580²).

The spelling of 9082800 in words is "nine million, eighty-two thousand, eight hundred".