705743440 has 80 divisors (see below), whose sum is σ = 1743919632. Its totient is φ = 264691712.

The previous prime is 705743407. The next prime is 705743447. The reversal of 705743440 is 44347507.

It can be written as a sum of positive squares in 8 ways, for example, as 163226176 + 542517264 = 12776^2 + 23292^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 705743396 and 705743405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705743447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430302 + ... + 431938.

Almost surely, 2^705743440 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 705743440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871959816).

705743440 is an abundant number, since it is smaller than the sum of its proper divisors (1038176192).

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

705743440 is a wasteful number, since it uses less digits than its factorization.

705743440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 705743440 is about 26565.8321909930. The cubic root of 705743440 is about 890.3257823454.

The spelling of 705743440 in words is "seven hundred five million, seven hundred forty-three thousand, four hundred forty".