7540320 has 96 divisors (see below), whose sum is σ = 24820992. Its totient is φ = 1920512.

The previous prime is 7540289. The next prime is 7540327. The reversal of 7540320 is 230457.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7540327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10699 + ... + 11381.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 2^7540320 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 7540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496).

7540320 is an abundant number, since it is smaller than the sum of its proper divisors (17280672).

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

7540320 is a wasteful number, since it uses less digits than its factorization.

7540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 7540320 is about 2745.9643114942. The cubic root of 7540320 is about 196.0935274861.

Adding to 7540320 its reverse (230457), we get a palindrome (7770777).

The spelling of 7540320 in words is "seven million, five hundred forty thousand, three hundred twenty".