8052307200 has 810 divisors, whose sum is σ = 34743209886. Its totient is φ = 1834721280.

The previous prime is 8052307187. The next prime is 8052307231. The reversal of 8052307200 is 27032508.

It can be written as a sum of positive squares in 3 ways, for example, as 4064256 + 8048242944 = 2016^2 + 89712^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 25401442 + ... + 25401758.

Almost surely, 2^8052307200 is an apocalyptic number.

8052307200 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 8052307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17371604943).

8052307200 is an abundant number, since it is smaller than the sum of its proper divisors (26690902686).

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

8052307200 is a wasteful number, since it uses less digits than its factorization.

8052307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 8052307200 is about 89734.6488264149. The cubic root of 8052307200 is about 2004.3494675425.

Adding to 8052307200 its reverse (27032508), we get a palindrome (8079339708).

The spelling of 8052307200 in words is "eight billion, fifty-two million, three hundred seven thousand, two hundred".