8027734896 has 240 divisors, whose sum is σ = 24338233920. Its totient is φ = 2463436800.

The previous prime is 8027734867. The next prime is 8027734903. The reversal of 8027734896 is 6984377208.

It is a super-2 number, since 2×8027734896² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13356996 + ... + 13357596.

It is an arithmetic number, because the mean of its divisors is an integer number (101409308).

Almost surely, 2^8027734896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8027734896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12169116960).

8027734896 is an abundant number, since it is smaller than the sum of its proper divisors (16310499024).

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

8027734896 is a wasteful number, since it uses less digits than its factorization.

8027734896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 8027734896 is about 89597.6277364529. The cubic root of 8027734896 is about 2002.3085755475.

The spelling of 8027734896 in words is "eight billion, twenty-seven million, seven hundred thirty-four thousand, eight hundred ninety-six".