705440736 has 288 divisors, whose sum is σ = 2694601728. Its totient is φ = 169067520.

The previous prime is 705440713. The next prime is 705440741. The reversal of 705440736 is 637044507.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 705440736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287065 + ... + 289511.

It is an arithmetic number, because the mean of its divisors is an integer number (9356256).

Almost surely, 2^705440736 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 705440736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347300864).

705440736 is an abundant number, since it is smaller than the sum of its proper divisors (1989160992).

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

705440736 is a wasteful number, since it uses less digits than its factorization.

705440736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 705440736 is about 26560.1343370097. The cubic root of 705440736 is about 890.1984727589.

The spelling of 705440736 in words is "seven hundred five million, four hundred forty thousand, seven hundred thirty-six".