8005377888 has 72 divisors (see below), whose sum is σ = 23039642808. Its totient is φ = 2636301312.

The previous prime is 8005377881. The next prime is 8005377931. The reversal of 8005377888 is 8887735008.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005377881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143545 + ... + 191352.

It is an arithmetic number, because the mean of its divisors is an integer number (319995039).

Almost surely, 2^8005377888 is an apocalyptic number.

It is an amenable number.

8005377888 is an abundant number, since it is smaller than the sum of its proper divisors (15034264920).

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

8005377888 is a wasteful number, since it uses less digits than its factorization.

8005377888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334996 (or 334985 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The square root of 8005377888 is about 89472.7773571381. Note that the first 3 decimals coincide. The cubic root of 8005377888 is about 2000.4480569483.

The spelling of 8005377888 in words is "eight billion, five million, three hundred seventy-seven thousand, eight hundred eighty-eight".