8280360000 has 1120 divisors, whose sum is σ = 35992978560. Its totient is φ = 1843200000.

The previous prime is 8280359993. The next prime is 8280360001. The reversal of 8280360000 is 630828.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8280360001) 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 159 ways as a sum of consecutive naturals, for example, 201959980 + ... + 201960020.

It is an arithmetic number, because the mean of its divisors is an integer number (32136588).

Almost surely, 2^8280360000 is an apocalyptic number.

8280360000 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 8280360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17996489280).

8280360000 is an abundant number, since it is smaller than the sum of its proper divisors (27712618560).

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

8280360000 is a wasteful number, since it uses less digits than its factorization.

8280360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8280360000 is about 90996.4834485377. The cubic root of 8280360000 is about 2023.0956032752.

Adding to 8280360000 its reverse (630828), we get a palindrome (8280990828).

The spelling of 8280360000 in words is "eight billion, two hundred eighty million, three hundred sixty thousand".