840675840 has 320 divisors, whose sum is σ = 2927384064. Its totient is φ = 204996608.

The previous prime is 840675839. The next prime is 840675851. The reversal of 840675840 is 48576048.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 840675792 and 840675801.

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 31 ways as a sum of consecutive naturals, for example, 6136252 + ... + 6136388.

Almost surely, 2^840675840 is an apocalyptic number.

840675840 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 840675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463692032).

840675840 is an abundant number, since it is smaller than the sum of its proper divisors (2086708224).

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

840675840 is a wasteful number, since it uses less digits than its factorization.

840675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 840675840 is about 28994.4104958180. The cubic root of 840675840 is about 943.7917763475.

The spelling of 840675840 in words is "eight hundred forty million, six hundred seventy-five thousand, eight hundred forty".