7881344 has 32 divisors (see below), whose sum is σ = 15952800. Its totient is φ = 3877632.

The previous prime is 7881337. The next prime is 7881373. The reversal of 7881344 is 4431887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8117 + ... + 9035.

It is an arithmetic number, because the mean of its divisors is an integer number (498525).

Almost surely, 2^7881344 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 7881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7976400).

7881344 is an abundant number, since it is smaller than the sum of its proper divisors (8071456).

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

7881344 is an equidigital number, since it uses as much as digits as its factorization.

7881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 988 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 7881344 is about 2807.3731494050. The cubic root of 7881344 is about 199.0062706878.

The spelling of 7881344 in words is "seven million, eight hundred eighty-one thousand, three hundred forty-four".