705738240 has 120 divisors (see below), whose sum is σ = 2444249808. Its totient is φ = 188190720.

The previous prime is 705738217. The next prime is 705738247. The reversal of 705738240 is 42837507.

705738240 is a `hidden beast` number, since 7 + 0 + 573 + 82 + 4 + 0 = 666.

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

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 = 705738195 and 705738204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705738247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7725 + ... + 38355.

Almost surely, 2^705738240 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 705738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222124904).

705738240 is an abundant number, since it is smaller than the sum of its proper divisors (1738511568).

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

705738240 is a wasteful number, since it uses less digits than its factorization.

705738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30660 (or 30641 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 705738240 is about 26565.7343207373. The cubic root of 705738240 is about 890.3235956652.

The spelling of 705738240 in words is "seven hundred five million, seven hundred thirty-eight thousand, two hundred forty".