9007801344 has 220 divisors, whose sum is σ = 27075161344. Its totient is φ = 2982998016.

The previous prime is 9007801343. The next prime is 9007801357. The reversal of 9007801344 is 4431087009.

It is a happy number.

It is a super-2 number, since 2×9007801344² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9007801299 and 9007801308.

It is not an unprimeable number, because it can be changed into a prime (9007801343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18496269 + ... + 18496755.

Almost surely, 2^9007801344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9007801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13537580672).

9007801344 is an abundant number, since it is smaller than the sum of its proper divisors (18067360000).

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

9007801344 is a wasteful number, since it uses less digits than its factorization.

9007801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9007801344 is about 94909.4375918433. The cubic root of 9007801344 is about 2080.6846661249.

The spelling of 9007801344 in words is "nine billion, seven million, eight hundred one thousand, three hundred forty-four".