840271200 has 144 divisors (see below), whose sum is σ = 2879190720. Its totient is φ = 212267520.

The previous prime is 840271199. The next prime is 840271231. The reversal of 840271200 is 2172048.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36387 + ... + 54813.

It is an arithmetic number, because the mean of its divisors is an integer number (19994380).

Almost surely, 2^840271200 is an apocalyptic number.

840271200 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 840271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439595360).

840271200 is an abundant number, since it is smaller than the sum of its proper divisors (2038919520).

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

840271200 is a wasteful number, since it uses less digits than its factorization.

840271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18469 (or 18456 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 840271200 is about 28987.4317592987. The cubic root of 840271200 is about 943.6403278840.

The spelling of 840271200 in words is "eight hundred forty million, two hundred seventy-one thousand, two hundred".