7640320 has 72 divisors (see below), whose sum is σ = 18837504. Its totient is φ = 2967552.

The previous prime is 7640287. The next prime is 7640329. The reversal of 7640320 is 230467.

It is a junction number, because it is equal to n+sod(n) for n = 7640291 and 7640300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7640329) 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, 60097 + ... + 60223.

It is an arithmetic number, because the mean of its divisors is an integer number (261632).

Almost surely, 2^7640320 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 7640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418752).

7640320 is an abundant number, since it is smaller than the sum of its proper divisors (11197184).

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

7640320 is a wasteful number, since it uses less digits than its factorization.

7640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 7640320 is about 2764.1128775794. The cubic root of 7640320 is about 196.9565898492.

Adding to 7640320 its reverse (230467), we get a palindrome (7870787).

The spelling of 7640320 in words is "seven million, six hundred forty thousand, three hundred twenty".