7560480 has 96 divisors (see below), whose sum is σ = 25099200. Its totient is φ = 1907712.

The previous prime is 7560473. The next prime is 7560493. The reversal of 7560480 is 840657.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8706 + ... + 9534.

It is an arithmetic number, because the mean of its divisors is an integer number (261450).

Almost surely, 2^7560480 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 7560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549600).

7560480 is an abundant number, since it is smaller than the sum of its proper divisors (17538720).

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

7560480 is a wasteful number, since it uses less digits than its factorization.

7560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7560480 is about 2749.6327027441. The cubic root of 7560480 is about 196.2681322584.

The spelling of 7560480 in words is "seven million, five hundred sixty thousand, four hundred eighty".