8005587840 has 384 divisors, whose sum is σ = 28670241600. Its totient is φ = 2057011200.

The previous prime is 8005587797. The next prime is 8005587847. The reversal of 8005587840 is 487855008.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005587847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25741285 + ... + 25741595.

Almost surely, 2^8005587840 is an apocalyptic number.

8005587840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8005587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335120800).

8005587840 is an abundant number, since it is smaller than the sum of its proper divisors (20664653760).

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

8005587840 is a wasteful number, since it uses less digits than its factorization.

8005587840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 8005587840 is about 89473.9506225136. The cubic root of 8005587840 is about 2000.4655449589.

The spelling of 8005587840 in words is "eight billion, five million, five hundred eighty-seven thousand, eight hundred forty".