75400 has 48 divisors (see below), whose sum is σ = 195300. Its totient is φ = 26880.

The previous prime is 75391. The next prime is 75401. The reversal of 75400 is 457.

It can be written as a sum of positive squares in 6 ways, for example, as 14884 + 60516 = 122^2 + 246^2 .

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (75401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2586 + ... + 2614.

2⁷⁵⁴⁰⁰ 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 75400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97650).

75400 is an abundant number, since it is smaller than the sum of its proper divisors (119900).

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

75400 is a wasteful number, since it uses less digits than its factorization.

75400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 49 counting only the distinct ones).

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

The square root of 75400 is about 274.5906043549. The cubic root of 75400 is about 42.2464721679.

Adding to 75400 its reverse (457), we get a palindrome (75857).

The spelling of 75400 in words is "seventy-five thousand, four hundred".