842800 has 90 divisors (see below), whose sum is σ = 2410188. Its totient is φ = 282240.

The previous prime is 842791. The next prime is 842801. The reversal of 842800 is 8248.

It is not an unprimeable number, because it can be changed into a prime (842801) by changing a digit.

842800 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 17 ways as a sum of consecutive naturals, for example, 19579 + ... + 19621.

2⁸⁴²⁸⁰⁰ is an apocalyptic number.

842800 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 842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205094).

842800 is an abundant number, since it is smaller than the sum of its proper divisors (1567388).

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

842800 is a wasteful number, since it uses less digits than its factorization.

842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 842800 is about 918.0413934023. The cubic root of 842800 is about 94.4586009793.

The spelling of 842800 in words is "eight hundred forty-two thousand, eight hundred".