7584480 has 144 divisors (see below), whose sum is σ = 27125280. Its totient is φ = 1926144.

The previous prime is 7584463. The next prime is 7584497. The reversal of 7584480 is 844857.

It is an interprime number because it is at equal distance from previous prime (7584463) and next prime (7584497).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33006 + ... + 33234.

It is an arithmetic number, because the mean of its divisors is an integer number (188370).

Almost surely, 2^7584480 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 7584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562640).

7584480 is an abundant number, since it is smaller than the sum of its proper divisors (19540800).

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

7584480 is a wasteful number, since it uses less digits than its factorization.

7584480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 7584480 is about 2753.9934640445. The cubic root of 7584480 is about 196.4755908534.

Adding to 7584480 its sum of digits (36), we get a square (7584516 = 2754²).

The spelling of 7584480 in words is "seven million, five hundred eighty-four thousand, four hundred eighty".