7564320 has 192 divisors, whose sum is σ = 28304640. Its totient is φ = 1880064.

The previous prime is 7564313. The next prime is 7564357. The reversal of 7564320 is 234657.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73389 + ... + 73491.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^7564320 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 7564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

7564320 is an abundant number, since it is smaller than the sum of its proper divisors (20740320).

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

7564320 is a wasteful number, since it uses less digits than its factorization.

7564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7564320 is about 2750.3308891841. The cubic root of 7564320 is about 196.3013551079.

Adding to 7564320 its reverse (234657), we get a palindrome (7798977).

The spelling of 7564320 in words is "seven million, five hundred sixty-four thousand, three hundred twenty".