8026318080 has 576 divisors, whose sum is σ = 31858928640. Its totient is φ = 1896652800.

The previous prime is 8026318057. The next prime is 8026318093. The reversal of 8026318080 is 808136208.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 16346635 + ... + 16347125.

It is an arithmetic number, because the mean of its divisors is an integer number (55310640).

Almost surely, 2^8026318080 is an apocalyptic number.

8026318080 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 8026318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15929464320).

8026318080 is an abundant number, since it is smaller than the sum of its proper divisors (23832610560).

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

8026318080 is a wasteful number, since it uses less digits than its factorization.

8026318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8026318080 is about 89589.7208389445. The cubic root of 8026318080 is about 2002.1907727146.

The spelling of 8026318080 in words is "eight billion, twenty-six million, three hundred eighteen thousand, eighty".