840085200 has 90 divisors (see below), whose sum is σ = 2915341494. Its totient is φ = 224021760.

The previous prime is 840085159. The next prime is 840085231. The reversal of 840085200 is 2580048.

It can be written as a sum of positive squares in 3 ways, for example, as 12027024 + 828058176 = 3468^2 + 28776^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 113079 + ... + 120278.

Almost surely, 2^840085200 is an apocalyptic number.

840085200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

840085200 is an abundant number, since it is smaller than the sum of its proper divisors (2075256294).

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

840085200 is a wasteful number, since it uses less digits than its factorization.

840085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233381 (or 233367 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 840085200 is about 28984.2232947512. The cubic root of 840085200 is about 943.5706955822.

The spelling of 840085200 in words is "eight hundred forty million, eighty-five thousand, two hundred".