705120240 has 120 divisors (see below), whose sum is σ = 2402752464. Its totient is φ = 170931200.

The previous prime is 705120187. The next prime is 705120277. The reversal of 705120240 is 42021507.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 16900 + ... + 41180.

Almost surely, 2^705120240 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 705120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201376232).

705120240 is an abundant number, since it is smaller than the sum of its proper divisors (1697632224).

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

705120240 is a wasteful number, since it uses less digits than its factorization.

705120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24319 (or 24302 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 705120240 is about 26554.1002483609. The cubic root of 705120240 is about 890.0636406118.

Adding to 705120240 its reverse (42021507), we get a palindrome (747141747).

The spelling of 705120240 in words is "seven hundred five million, one hundred twenty thousand, two hundred forty".