8005342176 has 144 divisors (see below), whose sum is σ = 24979552416. Its totient is φ = 2416647168.

The previous prime is 8005342153. The next prime is 8005342183. The reversal of 8005342176 is 6712435008.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8005342176.

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 23 ways as a sum of consecutive naturals, for example, 178261 + ... + 218603.

It is an arithmetic number, because the mean of its divisors is an integer number (173469114).

Almost surely, 2^8005342176 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 8005342176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12489776208).

8005342176 is an abundant number, since it is smaller than the sum of its proper divisors (16974210240).

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

8005342176 is a wasteful number, since it uses less digits than its factorization.

8005342176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40425 (or 40414 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8005342176 is about 89472.5777878340. The cubic root of 8005342176 is about 2000.4450822769.

The spelling of 8005342176 in words is "eight billion, five million, three hundred forty-two thousand, one hundred seventy-six".