7500480 has 112 divisors (see below), whose sum is σ = 25688544. Its totient is φ = 1843200.

The previous prime is 7500463. The next prime is 7500491. The reversal of 7500480 is 840057.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 7500480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12180 + ... + 12780.

It is an arithmetic number, because the mean of its divisors is an integer number (229362).

Almost surely, 2^7500480 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 7500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12844272).

7500480 is an abundant number, since it is smaller than the sum of its proper divisors (18188064).

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

7500480 is a wasteful number, since it uses less digits than its factorization.

7500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 7500480 is about 2738.7004217329. The cubic root of 7500480 is about 195.7475578282.

The spelling of 7500480 in words is "seven million, five hundred thousand, four hundred eighty".