8005350880 has 48 divisors (see below), whose sum is σ = 18924210144. Its totient is φ = 3200181760.

The previous prime is 8005350877. The next prime is 8005350887. The reversal of 8005350880 is 880535008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005350887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262845 + ... + 291715.

It is an arithmetic number, because the mean of its divisors is an integer number (394254378).

Almost surely, 2^8005350880 is an apocalyptic number.

8005350880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8005350880 is an abundant number, since it is smaller than the sum of its proper divisors (10918859264).

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

8005350880 is a wasteful number, since it uses less digits than its factorization.

8005350880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30619 (or 30611 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 8005350880 is about 89472.6264284222. The cubic root of 8005350880 is about 2000.4458072872.

Adding to 8005350880 its reverse (880535008), we get a palindrome (8885885888).

The spelling of 8005350880 in words is "eight billion, five million, three hundred fifty thousand, eight hundred eighty".