7440120 has 96 divisors (see below), whose sum is σ = 25102800. Its totient is φ = 1960128.

The previous prime is 7440113. The next prime is 7440127. The reversal of 7440120 is 210447.

It is a happy number.

7440120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7440113) and next prime (7440127).

It is a super-2 number, since 2×7440120² = 110710771228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 7440093 and 7440102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7440127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89599 + ... + 89681.

Almost surely, 2^7440120 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 7440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551400).

7440120 is an abundant number, since it is smaller than the sum of its proper divisors (17662680).

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

7440120 is a wasteful number, since it uses less digits than its factorization.

7440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 7440120 is about 2727.6583363757. The cubic root of 7440120 is about 195.2210510980.

Adding to 7440120 its reverse (210447), we get a palindrome (7650567).

The spelling of 7440120 in words is "seven million, four hundred forty thousand, one hundred twenty".