8083800 has 120 divisors (see below), whose sum is σ = 28132500. Its totient is φ = 2151360.

The previous prime is 8083799. The next prime is 8083807. The reversal of 8083800 is 83808.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8083807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15951 + ... + 16449.

Almost surely, 2^8083800 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 8083800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14066250).

8083800 is an abundant number, since it is smaller than the sum of its proper divisors (20048700).

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

8083800 is a wasteful number, since it uses less digits than its factorization.

8083800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8083800 is about 2843.2024198076. The cubic root of 8083800 is about 200.6959090776.

The spelling of 8083800 in words is "eight million, eighty-three thousand, eight hundred".