875400 has 48 divisors (see below), whose sum is σ = 2715600. Its totient is φ = 233280.

The previous prime is 875393. The next prime is 875417. The reversal of 875400 is 4578.

875400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is an unprimeable number.

875400 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 11 ways as a sum of consecutive naturals, for example, 130 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (56575).

2⁸⁷⁵⁴⁰⁰ 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 875400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357800).

875400 is an abundant number, since it is smaller than the sum of its proper divisors (1840200).

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

875400 is a wasteful number, since it uses less digits than its factorization.

875400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 875400 is about 935.6281312573. The cubic root of 875400 is about 95.6611316320.

Adding to 875400 its reverse (4578), we get a palindrome (879978).

It can be divided in two parts, 875 and 400, that added together give a triangular number (1275 = T₅₀).

The spelling of 875400 in words is "eight hundred seventy-five thousand, four hundred".