7400 has 24 divisors (see below), whose sum is σ = 17670. Its totient is φ = 2880.

The previous prime is 7393. The next prime is 7411. The reversal of 7400 is 47.

Adding to 7400 its reverse (47), we get a palindrome (7447).

It can be written as a sum of positive squares in 3 ways, for example, as 6724 + 676 = 82^2 + 26^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

7400 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 5 ways as a sum of consecutive naturals, for example, 182 + ... + 218.

7400 is the 50-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835).

7400 is an abundant number, since it is smaller than the sum of its proper divisors (10270).

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

7400 is a wasteful number, since it uses less digits than its factorization.

7400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 7400 is about 86.0232526704. The cubic root of 7400 is about 19.4869516037.

The spelling of 7400 in words is "seven thousand, four hundred", and thus it is an iban number.

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