7738240 has 64 divisors (see below), whose sum is σ = 18837360. Its totient is φ = 3039232.

The previous prime is 7738231. The next prime is 7738243. The reversal of 7738240 is 428377.

7738240 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7738243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68424 + ... + 68536.

Almost surely, 2^7738240 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 7738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418680).

7738240 is an abundant number, since it is smaller than the sum of its proper divisors (11099120).

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

7738240 is a wasteful number, since it uses less digits than its factorization.

7738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 7738240 is about 2781.7692211972. The cubic root of 7738240 is about 197.7944334564.

The spelling of 7738240 in words is "seven million, seven hundred thirty-eight thousand, two hundred forty".