8004088480 has 48 divisors (see below), whose sum is σ = 18915357384. Its totient is φ = 3200670720.

The previous prime is 8004088451. The next prime is 8004088489. The reversal of 8004088480 is 848804008.

It can be written as a sum of positive squares in 4 ways, for example, as 4417995024 + 3586093456 = 66468^2 + 59884^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8004088489) 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, 784210 + ... + 794350.

Almost surely, 2^8004088480 is an apocalyptic number.

8004088480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8004088480 is an abundant number, since it is smaller than the sum of its proper divisors (10911268904).

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

8004088480 is a wasteful number, since it uses less digits than its factorization.

8004088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15089 (or 15081 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 8004088480 is about 89465.5714786420. The cubic root of 8004088480 is about 2000.3406486426.

The spelling of 8004088480 in words is "eight billion, four million, eighty-eight thousand, four hundred eighty".