8071388160 has 704 divisors, whose sum is σ = 30787928064. Its totient is φ = 1784217600.

The previous prime is 8071388131. The next prime is 8071388167. The reversal of 8071388160 is 618831708.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8071388167) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 120468447 + ... + 120468513.

Almost surely, 2^8071388160 is an apocalyptic number.

8071388160 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 8071388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393964032).

8071388160 is an abundant number, since it is smaller than the sum of its proper divisors (22716539904).

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

8071388160 is a wasteful number, since it uses less digits than its factorization.

8071388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 8071388160 is about 89840.9047149460. The cubic root of 8071388160 is about 2005.9314051601.

The spelling of 8071388160 in words is "eight billion, seventy-one million, three hundred eighty-eight thousand, one hundred sixty".