7113052800 has 768 divisors, whose sum is σ = 31367040000. Its totient is φ = 1537781760.

The previous prime is 7113052783. The next prime is 7113052801. The reversal of 7113052800 is 82503117.

7113052800 is a `hidden beast` number, since 7 + 1 + 130 + 528 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7113052801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11490891 + ... + 11491509.

It is an arithmetic number, because the mean of its divisors is an integer number (40842500).

Almost surely, 2^7113052800 is an apocalyptic number.

7113052800 is a gapful number since it is divisible by the number (70) 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 7113052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683520000).

7113052800 is an abundant number, since it is smaller than the sum of its proper divisors (24253987200).

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

7113052800 is a wasteful number, since it uses less digits than its factorization.

7113052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 7113052800 is about 84338.9162842397. The cubic root of 7113052800 is about 1923.1744361466.

Adding to 7113052800 its reverse (82503117), we get a palindrome (7195555917).

The spelling of 7113052800 in words is "seven billion, one hundred thirteen million, fifty-two thousand, eight hundred".