8057200 has 30 divisors (see below), whose sum is σ = 19358384. Its totient is φ = 3222720.

The previous prime is 8057191. The next prime is 8057221. The reversal of 8057200 is 27508.

It is a super-3 number, since 3×8057200³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 9672 + ... + 10471.

Almost surely, 2^8057200 is an apocalyptic number.

8057200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8057200 is an abundant number, since it is smaller than the sum of its proper divisors (11301184).

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

8057200 is a wasteful number, since it uses less digits than its factorization.

8057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20161 (or 20150 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 8057200 is about 2838.5207415131. The cubic root of 8057200 is about 200.4755351024.

The spelling of 8057200 in words is "eight million, fifty-seven thousand, two hundred".