842834400 has 144 divisors (see below), whose sum is σ = 2807570304. Its totient is φ = 219502080.

The previous prime is 842834393. The next prime is 842834431. The reversal of 842834400 is 4438248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99117 + ... + 107283.

It is an arithmetic number, because the mean of its divisors is an integer number (19497016).

Almost surely, 2^842834400 is an apocalyptic number.

842834400 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 842834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403785152).

842834400 is an abundant number, since it is smaller than the sum of its proper divisors (1964735904).

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

842834400 is a wasteful number, since it uses less digits than its factorization.

842834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 842834400 is about 29031.6103583663. The cubic root of 842834400 is about 944.5988611285.

The spelling of 842834400 in words is "eight hundred forty-two million, eight hundred thirty-four thousand, four hundred".