705409840 has 80 divisors (see below), whose sum is σ = 1714318848. Its totient is φ = 269676288.

The previous prime is 705409819. The next prime is 705409871. The reversal of 705409840 is 48904507.

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

It is a self number, because there is not a number n which added to its sum of digits gives 705409840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159499 + ... + 163861.

Almost surely, 2^705409840 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 705409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857159424).

705409840 is an abundant number, since it is smaller than the sum of its proper divisors (1008909008).

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

705409840 is a wasteful number, since it uses less digits than its factorization.

705409840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 705409840 is about 26559.5527070770. The cubic root of 705409840 is about 890.1854766407.

The spelling of 705409840 in words is "seven hundred five million, four hundred nine thousand, eight hundred forty".