842784 has 24 divisors (see below), whose sum is σ = 2212560. Its totient is φ = 280896.

The previous prime is 842771. The next prime is 842791. The reversal of 842784 is 487248.

842784 = 302² + 303² + ... + 310².

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4294 + ... + 4485.

It is an arithmetic number, because the mean of its divisors is an integer number (92190).

2⁸⁴²⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

842784 is an abundant number, since it is smaller than the sum of its proper divisors (1369776).

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

842784 is a wasteful number, since it uses less digits than its factorization.

842784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8784 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 842784 is about 918.0326791569. The cubic root of 842784 is about 94.4580032309.

Multiplying 842784 by its sum of digits (33), we get a palindrome (27811872).

The spelling of 842784 in words is "eight hundred forty-two thousand, seven hundred eighty-four".