705730500 has 144 divisors (see below), whose sum is σ = 2298616320. Its totient is φ = 182088000.

The previous prime is 705730451. The next prime is 705730507. The reversal of 705730500 is 5037507.

It is not an unprimeable number, because it can be changed into a prime (705730507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136971 + ... + 142029.

Almost surely, 2^705730500 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 705730500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149308160).

705730500 is an abundant number, since it is smaller than the sum of its proper divisors (1592885820).

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

705730500 is a wasteful number, since it uses less digits than its factorization.

705730500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 705730500 is about 26565.5886439582. The cubic root of 705730500 is about 890.3203408561.

The spelling of 705730500 in words is "seven hundred five million, seven hundred thirty thousand, five hundred".