8003723840 has 224 divisors, whose sum is σ = 22784409600. Its totient is φ = 2620200960.

The previous prime is 8003723813. The next prime is 8003723909. The reversal of 8003723840 is 483273008.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 8003723840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5485031 + ... + 5486489.

Almost surely, 2^8003723840 is an apocalyptic number.

8003723840 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 8003723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392204800).

8003723840 is an abundant number, since it is smaller than the sum of its proper divisors (14780685760).

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

8003723840 is a wasteful number, since it uses less digits than its factorization.

8003723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 8003723840 is about 89463.5335765361. The cubic root of 8003723840 is about 2000.3102718632.

Adding to 8003723840 its reverse (483273008), we get a palindrome (8486996848).

The spelling of 8003723840 in words is "eight billion, three million, seven hundred twenty-three thousand, eight hundred forty".