840882240 has 504 divisors, whose sum is σ = 3372794880. Its totient is φ = 191600640.

The previous prime is 840882199. The next prime is 840882247. The reversal of 840882240 is 42288048.

840882240 is a `hidden beast` number, since 8 + 408 + 8 + 2 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 840882195 and 840882204.

It is not an unprimeable number, because it can be changed into a prime (840882247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6621057 + ... + 6621183.

Almost surely, 2^840882240 is an apocalyptic number.

840882240 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 840882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686397440).

840882240 is an abundant number, since it is smaller than the sum of its proper divisors (2531912640).

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

840882240 is a wasteful number, since it uses less digits than its factorization.

840882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 840882240 is about 28997.9695840933. The cubic root of 840882240 is about 943.8690089238.

The spelling of 840882240 in words is "eight hundred forty million, eight hundred eighty-two thousand, two hundred forty".