8052800 has 84 divisors (see below), whose sum is σ = 22677120. Its totient is φ = 2757120.

The previous prime is 8052787. The next prime is 8052817. The reversal of 8052800 is 82508.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10841 + ... + 11559.

Almost surely, 2^8052800 is an apocalyptic number.

8052800 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 8052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338560).

8052800 is an abundant number, since it is smaller than the sum of its proper divisors (14624320).

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

8052800 is a wasteful number, since it uses less digits than its factorization.

8052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 8052800 is about 2837.7455840861. The cubic root of 8052800 is about 200.4390355338.

The spelling of 8052800 in words is "eight million, fifty-two thousand, eight hundred".