8027705312 has 72 divisors (see below), whose sum is σ = 17617216176. Its totient is φ = 3597440000.

The previous prime is 8027705251. The next prime is 8027705339. The reversal of 8027705312 is 2135077208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260312 + ... + 289512.

It is an arithmetic number, because the mean of its divisors is an integer number (244683558).

Almost surely, 2^8027705312 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 8027705312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808608088).

8027705312 is an abundant number, since it is smaller than the sum of its proper divisors (9589510864).

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

8027705312 is a wasteful number, since it uses less digits than its factorization.

8027705312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29304 (or 29285 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 8027705312 is about 89597.4626426441. The cubic root of 8027705312 is about 2002.3061158927.

The spelling of 8027705312 in words is "eight billion, twenty-seven million, seven hundred five thousand, three hundred twelve".