7504 has 20 divisors (see below), whose sum is σ = 16864. Its totient is φ = 3168.

The previous prime is 7499. The next prime is 7507. The reversal of 7504 is 4057.

7504 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a pancake number, because a pancake can be divided into 7504 parts by 122 straight cuts.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7507) by changing a digit.

7504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79 + ... + 145.

2⁷⁵⁰⁴ 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 7504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432).

7504 is an abundant number, since it is smaller than the sum of its proper divisors (9360).

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

7504 is a wasteful number, since it uses less digits than its factorization.

7504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 7504 is about 86.6256313108. The cubic root of 7504 is about 19.5778174697.

The spelling of 7504 in words is "seven thousand, five hundred four".