8130844800 has 960 divisors, whose sum is σ = 34281139200. Its totient is φ = 1881169920.

The previous prime is 8130844783. The next prime is 8130844807. The reversal of 8130844800 is 84480318.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×8130844800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8130844807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64022337 + ... + 64022463.

It is an arithmetic number, because the mean of its divisors is an integer number (35709520).

Almost surely, 2^8130844800 is an apocalyptic number.

8130844800 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 8130844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17140569600).

8130844800 is an abundant number, since it is smaller than the sum of its proper divisors (26150294400).

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

8130844800 is a wasteful number, since it uses less digits than its factorization.

8130844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8130844800 is about 90171.1971751512. The cubic root of 8130844800 is about 2010.8448219632.

The spelling of 8130844800 in words is "eight billion, one hundred thirty million, eight hundred forty-four thousand, eight hundred".