8281200 has 120 divisors (see below), whose sum is σ = 27184768. Its totient is φ = 2154240.

The previous prime is 8281199. The next prime is 8281201. The reversal of 8281200 is 21828.

It is an interprime number because it is at equal distance from previous prime (8281199) and next prime (8281201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8281201) 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 23 ways as a sum of consecutive naturals, for example, 80349 + ... + 80451.

Almost surely, 2^8281200 is an apocalyptic number.

8281200 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 8281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592384).

8281200 is an abundant number, since it is smaller than the sum of its proper divisors (18903568).

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

8281200 is a wasteful number, since it uses less digits than its factorization.

8281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8281200 is about 2877.7074208474. The cubic root of 8281200 is about 202.3164011849.

The spelling of 8281200 in words is "eight million, two hundred eighty-one thousand, two hundred".