7535480 has 64 divisors (see below), whose sum is σ = 17971200. Its totient is φ = 2839680.

The previous prime is 7535477. The next prime is 7535483. The reversal of 7535480 is 845357.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7535477) and next prime (7535483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7535483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73109 + ... + 73211.

It is an arithmetic number, because the mean of its divisors is an integer number (280800).

Almost surely, 2^7535480 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 7535480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985600).

7535480 is an abundant number, since it is smaller than the sum of its proper divisors (10435720).

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

7535480 is a wasteful number, since it uses less digits than its factorization.

7535480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 7535480 is about 2745.0828767088. The cubic root of 7535480 is about 196.0515621666.

The spelling of 7535480 in words is "seven million, five hundred thirty-five thousand, four hundred eighty".