872760 has 64 divisors (see below), whose sum is σ = 2995200. Its totient is φ = 199296.

The previous prime is 872749. The next prime is 872761. The reversal of 872760 is 67278.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872761) by changing a digit.

872760 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, 321 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (46800).

2⁸⁷²⁷⁶⁰ 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 872760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497600).

872760 is an abundant number, since it is smaller than the sum of its proper divisors (2122440).

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

872760 is a wasteful number, since it uses less digits than its factorization.

872760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 872760 is about 934.2162490559. The cubic root of 872760 is about 95.5648709946.

872760 divided by its sum of digits (30) gives a palindrome (29092).

The spelling of 872760 in words is "eight hundred seventy-two thousand, seven hundred sixty".