705730240 has 56 divisors (see below), whose sum is σ = 1683501840. Its totient is φ = 281791488.

The previous prime is 705730189. The next prime is 705730241. The reversal of 705730240 is 42037507.

It is a junction number, because it is equal to n+sod(n) for n = 705730199 and 705730208.

It is not an unprimeable number, because it can be changed into a prime (705730241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216946 + ... + 220174.

Almost surely, 2^705730240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841750920).

705730240 is an abundant number, since it is smaller than the sum of its proper divisors (977771600).

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

705730240 is a wasteful number, since it uses less digits than its factorization.

705730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 705730240 is about 26565.5837504091. The cubic root of 705730240 is about 890.3202315210.

Adding to 705730240 its reverse (42037507), we get a palindrome (747767747).

The spelling of 705730240 in words is "seven hundred five million, seven hundred thirty thousand, two hundred forty".