873720 has 64 divisors (see below), whose sum is σ = 2916000. Its totient is φ = 232704.

The previous prime is 873709. The next prime is 873721. The reversal of 873720 is 27378.

873720 is nontrivially palindromic in base 7.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873721) by changing a digit.

873720 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676 + ... + 1484.

2⁸⁷³⁷²⁰ is an apocalyptic number.

873720 is the 540-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458000).

873720 is an abundant number, since it is smaller than the sum of its proper divisors (2042280).

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

873720 is a wasteful number, since it uses less digits than its factorization.

873720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 873720 is about 934.7299075134. The cubic root of 873720 is about 95.5998972939.

The spelling of 873720 in words is "eight hundred seventy-three thousand, seven hundred twenty".