873792 has 84 divisors (see below), whose sum is σ = 2634996. Its totient is φ = 276480.

The previous prime is 873787. The next prime is 873863. The reversal of 873792 is 297378.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 484416 = 624^2 + 696^2 .

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 8³ + 7⁵ + 7⁷ + 3⁴ + 9² + 2¹⁵ .

It is a nialpdrome in base 4 and base 16.

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 873792.

It is an unprimeable number.

873792 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 11 ways as a sum of consecutive naturals, for example, 21292 + ... + 21332.

It is an arithmetic number, because the mean of its divisors is an integer number (31369).

2⁸⁷³⁷⁹² is an apocalyptic number.

873792 is a gapful number since it is divisible by the number (82) 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 873792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317498).

873792 is an abundant number, since it is smaller than the sum of its proper divisors (1761204).

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

873792 is a wasteful number, since it uses less digits than its factorization.

873792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 873792 is about 934.7684205192. The cubic root of 873792 is about 95.6025232319.

The spelling of 873792 in words is "eight hundred seventy-three thousand, seven hundred ninety-two".