8003305440 has 480 divisors, whose sum is σ = 30915228960. Its totient is φ = 1937903616.

The previous prime is 8003305403. The next prime is 8003305447. The reversal of 8003305440 is 445033008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8003305447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11287806 + ... + 11288514.

It is an arithmetic number, because the mean of its divisors is an integer number (64406727).

Almost surely, 2^8003305440 is an apocalyptic number.

8003305440 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 8003305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457614480).

8003305440 is an abundant number, since it is smaller than the sum of its proper divisors (22911923520).

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

8003305440 is a wasteful number, since it uses less digits than its factorization.

8003305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 8003305440 is about 89461.1951630426. The cubic root of 8003305440 is about 2000.2754154048.

Adding to 8003305440 its reverse (445033008), we get a palindrome (8448338448).

The spelling of 8003305440 in words is "eight billion, three million, three hundred five thousand, four hundred forty".