8007488240 has 80 divisors (see below), whose sum is σ = 19765306368. Its totient is φ = 3006517248.

The previous prime is 8007488227. The next prime is 8007488261. The reversal of 8007488240 is 428847008.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513194 + ... + 528566.

Almost surely, 2^8007488240 is an apocalyptic number.

8007488240 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 8007488240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9882653184).

8007488240 is an abundant number, since it is smaller than the sum of its proper divisors (11757818128).

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

8007488240 is a wasteful number, since it uses less digits than its factorization.

8007488240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15786 (or 15780 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 41.

The square root of 8007488240 is about 89484.5698430741. The cubic root of 8007488240 is about 2000.6238254007.

The spelling of 8007488240 in words is "eight billion, seven million, four hundred eighty-eight thousand, two hundred forty".