840838320 has 480 divisors, whose sum is σ = 3457778688. Its totient is φ = 185877504.

The previous prime is 840838261. The next prime is 840838321. The reversal of 840838320 is 23838048.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (840838321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5034877 + ... + 5035043.

Almost surely, 2^840838320 is an apocalyptic number.

840838320 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 840838320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728889344).

840838320 is an abundant number, since it is smaller than the sum of its proper divisors (2616940368).

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

840838320 is a wasteful number, since it uses less digits than its factorization.

840838320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 840838320 is about 28997.2122798037. The cubic root of 840838320 is about 943.8525756086.

It can be divided in two parts, 840 and 838320, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 840838320 in words is "eight hundred forty million, eight hundred thirty-eight thousand, three hundred twenty".