52730800 has 60 divisors (see below), whose sum is σ = 127443976. Its totient is φ = 20966400.

The previous prime is 52730773. The next prime is 52730801. The reversal of 52730800 is 803725.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (52730801) 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, 96127 + ... + 96673.

Almost surely, 2^52730800 is an apocalyptic number.

52730800 is a gapful number since it is divisible by the number (50) 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 52730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63721988).

52730800 is an abundant number, since it is smaller than the sum of its proper divisors (74713176).

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

52730800 is a wasteful number, since it uses less digits than its factorization.

52730800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 52730800 is about 7261.5976203588. The cubic root of 52730800 is about 374.9915257344.

The spelling of 52730800 in words is "fifty-two million, seven hundred thirty thousand, eight hundred".