873760 has 48 divisors (see below), whose sum is σ = 2128896. Its totient is φ = 338688.

The previous prime is 873739. The next prime is 873767. The reversal of 873760 is 67378.

It is a super-3 number, since 3×873760³ = 2001233352880128000, which contains 333 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (873767) by changing a digit.

873760 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 7 ways as a sum of consecutive naturals, for example, 6817 + ... + 6943.

It is an arithmetic number, because the mean of its divisors is an integer number (44352).

2⁸⁷³⁷⁶⁰ is an apocalyptic number.

873760 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 873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448).

873760 is an abundant number, since it is smaller than the sum of its proper divisors (1255136).

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

873760 is a wasteful number, since it uses less digits than its factorization.

873760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 873760 is about 934.7513038236. The cubic root of 873760 is about 95.6013561662.

The spelling of 873760 in words is "eight hundred seventy-three thousand, seven hundred sixty".