873840 has 80 divisors (see below), whose sum is σ = 2964096. Its totient is φ = 211200.

The previous prime is 873787. The next prime is 873863. The reversal of 873840 is 48378.

873840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 873798 and 873807.

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 873840.

It is an unprimeable number.

873840 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 15 ways as a sum of consecutive naturals, for example, 2475 + ... + 2805.

2⁸⁷³⁸⁴⁰ is an apocalyptic number.

873840 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 873840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482048).

873840 is an abundant number, since it is smaller than the sum of its proper divisors (2090256).

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

873840 is a wasteful number, since it uses less digits than its factorization.

873840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 873840 is about 934.7940949749. The cubic root of 873840 is about 95.6042737771.

It can be divided in two parts, 8738 and 40, that added together give a palindrome (8778).

The spelling of 873840 in words is "eight hundred seventy-three thousand, eight hundred forty".