872784 has 120 divisors (see below), whose sum is σ = 2901600. Its totient is φ = 241920.

The previous prime is 872761. The next prime is 872789. The reversal of 872784 is 487278.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 8 + 7² + 7⁷ + 2⁵ + 8⁵ + 4⁷ .

Its product of digits (25088) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872789) by changing a digit.

872784 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 23 ways as a sum of consecutive naturals, for example, 30082 + ... + 30110.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2⁸⁷²⁷⁸⁴ 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 872784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450800).

872784 is an abundant number, since it is smaller than the sum of its proper divisors (2028816).

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

872784 is a wasteful number, since it uses less digits than its factorization.

872784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 64 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 872784 is about 934.2290939593. The cubic root of 872784 is about 95.5657469650.

The spelling of 872784 in words is "eight hundred seventy-two thousand, seven hundred eighty-four".