7882240 has 40 divisors (see below), whose sum is σ = 18905040. Its totient is φ = 3151872.

The previous prime is 7882219. The next prime is 7882243. The reversal of 7882240 is 422887.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7882243) by changing a digit.

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, 1021 + ... + 4099.

It is an arithmetic number, because the mean of its divisors is an integer number (472626).

Almost surely, 2^7882240 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 7882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452520).

7882240 is an abundant number, since it is smaller than the sum of its proper divisors (11022800).

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

7882240 is an equidigital number, since it uses as much as digits as its factorization.

7882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 7882240 is about 2807.5327246534. The cubic root of 7882240 is about 199.0138118239.

The spelling of 7882240 in words is "seven million, eight hundred eighty-two thousand, two hundred forty".