7868385280 has 192 divisors, whose sum is σ = 22278896640. Its totient is φ = 2609971200.

The previous prime is 7868385221. The next prime is 7868385347. The reversal of 7868385280 is 825838687.

It is a happy number.

It is a super-2 number, since 2×7868385280² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2220310 + ... + 2223850.

It is an arithmetic number, because the mean of its divisors is an integer number (116035920).

Almost surely, 2^7868385280 is an apocalyptic number.

7868385280 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 7868385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11139448320).

7868385280 is an abundant number, since it is smaller than the sum of its proper divisors (14410511360).

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

7868385280 is a wasteful number, since it uses less digits than its factorization.

7868385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 55.

The square root of 7868385280 is about 88703.9191918824. The cubic root of 7868385280 is about 1988.9714034800.

The spelling of 7868385280 in words is "seven billion, eight hundred sixty-eight million, three hundred eighty-five thousand, two hundred eighty".