8005337070 has 64 divisors (see below), whose sum is σ = 20252021760. Its totient is φ = 2019600000.

The previous prime is 8005337003. The next prime is 8005337071. The reversal of 8005337070 is 707335008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005337071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418720 + ... + 437420.

It is an arithmetic number, because the mean of its divisors is an integer number (316437840).

Almost surely, 2^8005337070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8005337070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10126010880).

8005337070 is an abundant number, since it is smaller than the sum of its proper divisors (12246684690).

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

8005337070 is a wasteful number, since it uses less digits than its factorization.

8005337070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19481.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 8005337070 is about 89472.5492539472. The cubic root of 8005337070 is about 2000.4446569661. Note that the first 3 decimals are identical.

The spelling of 8005337070 in words is "eight billion, five million, three hundred thirty-seven thousand, seventy".