7536480 has 96 divisors (see below), whose sum is σ = 27143424. Its totient is φ = 1721856.

The previous prime is 7536467. The next prime is 7536499. The reversal of 7536480 is 846357.

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

It is a congruent number.

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, 2239 + ... + 4481.

It is an arithmetic number, because the mean of its divisors is an integer number (282744).

Almost surely, 2^7536480 is an apocalyptic number.

7536480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13571712).

7536480 is an abundant number, since it is smaller than the sum of its proper divisors (19606944).

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

7536480 is a wasteful number, since it uses less digits than its factorization.

7536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 7536480 is about 2745.2650145296. The cubic root of 7536480 is about 196.0602341596.

The spelling of 7536480 in words is "seven million, five hundred thirty-six thousand, four hundred eighty".