875840 has 112 divisors (see below), whose sum is σ = 2633472. Its totient is φ = 270336.

The previous prime is 875837. The next prime is 875851. The reversal of 875840 is 48578.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 875797 and 875806.

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 875840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38069 + ... + 38091.

2⁸⁷⁵⁸⁴⁰ is an apocalyptic number.

875840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316736).

875840 is an abundant number, since it is smaller than the sum of its proper divisors (1757632).

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

875840 is a wasteful number, since it uses less digits than its factorization.

875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 875840 is about 935.8632378719. The cubic root of 875840 is about 95.6771562486.

The spelling of 875840 in words is "eight hundred seventy-five thousand, eight hundred forty".