7052800 has 120 divisors (see below), whose sum is σ = 19027800. Its totient is φ = 2580480.

The previous prime is 7052753. The next prime is 7052809. The reversal of 7052800 is 82507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7052809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243186 + ... + 243214.

It is an arithmetic number, because the mean of its divisors is an integer number (158565).

Almost surely, 2^7052800 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 7052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9513900).

7052800 is an abundant number, since it is smaller than the sum of its proper divisors (11975000).

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

7052800 is a wasteful number, since it uses less digits than its factorization.

7052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 55 counting only the distinct ones).

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

The square root of 7052800 is about 2655.7108276317. The cubic root of 7052800 is about 191.7728795891.

The spelling of 7052800 in words is "seven million, fifty-two thousand, eight hundred".