7476 has 24 divisors (see below), whose sum is σ = 20160. Its totient is φ = 2112.

The previous prime is 7459. The next prime is 7477. The reversal of 7476 is 6747.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 9 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7476.

It is not an unprimeable number, because it can be changed into a prime (7477) by changing a digit.

7476 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2⁷⁴⁷⁶ 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 7476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080).

7476 is an abundant number, since it is smaller than the sum of its proper divisors (12684).

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

7476 is a wasteful number, since it uses less digits than its factorization.

7476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 101 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 7476 is about 86.4638652849. The cubic root of 7476 is about 19.5534366008.

Subtracting from 7476 its reverse (6747), we obtain a 6-th power (729 = 3⁶).

The spelling of 7476 in words is "seven thousand, four hundred seventy-six".