839730240 has 168 divisors, whose sum is σ = 2995574400. Its totient is φ = 223907328.

The previous prime is 839730217. The next prime is 839730337. The reversal of 839730240 is 42037938.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 839730195 and 839730204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72361 + ... + 83159.

It is an arithmetic number, because the mean of its divisors is an integer number (17830800).

Almost surely, 2^839730240 is an apocalyptic number.

839730240 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 839730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497787200).

839730240 is an abundant number, since it is smaller than the sum of its proper divisors (2155844160).

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

839730240 is a wasteful number, since it uses less digits than its factorization.

839730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10831 (or 10809 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 839730240 is about 28978.0993165528. The cubic root of 839730240 is about 943.4377816676.

The spelling of 839730240 in words is "eight hundred thirty-nine million, seven hundred thirty thousand, two hundred forty".