8006545080 has 192 divisors, whose sum is σ = 27645546240. Its totient is φ = 2002661376.

The previous prime is 8006545061. The next prime is 8006545087. The reversal of 8006545080 is 805456008.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006545087) by changing a digit.

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, 1937977 + ... + 1942103.

It is an arithmetic number, because the mean of its divisors is an integer number (143987220).

Almost surely, 2^8006545080 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 8006545080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822773120).

8006545080 is an abundant number, since it is smaller than the sum of its proper divisors (19639001160).

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

8006545080 is a wasteful number, since it uses less digits than its factorization.

8006545080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8006545080 is about 89479.2997290435. The cubic root of 8006545080 is about 2000.5452746576.

The spelling of 8006545080 in words is "eight billion, six million, five hundred forty-five thousand, eighty".