8027200 has 84 divisors (see below), whose sum is σ = 20551140. Its totient is φ = 3082240.

The previous prime is 8027191. The next prime is 8027209. The reversal of 8027200 is 27208.

It is an interprime number because it is at equal distance from previous prime (8027191) and next prime (8027209).

It can be written as a sum of positive squares in 6 ways, for example, as 97344 + 7929856 = 312^2 + 2816^2 .

It is not an unprimeable number, because it can be changed into a prime (8027209) by changing a digit.

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, 46314 + ... + 46486.

Almost surely, 2^8027200 is an apocalyptic number.

8027200 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 8027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10275570).

8027200 is an abundant number, since it is smaller than the sum of its proper divisors (12523940).

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

8027200 is a wasteful number, since it uses less digits than its factorization.

8027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 8027200 is about 2833.2313707144. The cubic root of 8027200 is about 200.2264102619.

The spelling of 8027200 in words is "eight million, twenty-seven thousand, two hundred".