8004004884 has 18 divisors (see below), whose sum is σ = 20232345770. Its totient is φ = 2668001616.

The previous prime is 8004004867. The next prime is 8004004913. The reversal of 8004004884 is 4884004008.

It can be written as a sum of positive squares in only one way, i.e., 4792515984 + 3211488900 = 69228^2 + 56670^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 222333469 = 8004004884 / (8 + 0 + 0 + 4 + 0 + 0 + 4 + 8 + 8 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111166699 + ... + 111166770.

Almost surely, 2^8004004884 is an apocalyptic number.

It is an amenable number.

8004004884 is an abundant number, since it is smaller than the sum of its proper divisors (12228340886).

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

8004004884 is a wasteful number, since it uses less digits than its factorization.

8004004884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222333479 (or 222333474 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8004004884 is about 89465.1042809430. The cubic root of 8004004884 is about 2000.3336846575. Note that the first 3 decimals are identical.

The spelling of 8004004884 in words is "eight billion, four million, four thousand, eight hundred eighty-four".