8280564880 has 240 divisors, whose sum is σ = 24182737920. Its totient is φ = 2621144064.

The previous prime is 8280564827. The next prime is 8280564937. The reversal of 8280564880 is 884650828.

It is a super-3 number, since 3×8280564880³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2613057 + ... + 2616223.

It is an arithmetic number, because the mean of its divisors is an integer number (100761408).

Almost surely, 2^8280564880 is an apocalyptic number.

8280564880 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 8280564880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12091368960).

8280564880 is an abundant number, since it is smaller than the sum of its proper divisors (15902173040).

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

8280564880 is a wasteful number, since it uses less digits than its factorization.

8280564880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

The square root of 8280564880 is about 90997.6091993630. The cubic root of 8280564880 is about 2023.1122888786.

The spelling of 8280564880 in words is "eight billion, two hundred eighty million, five hundred sixty-four thousand, eight hundred eighty".