705289920 has 112 divisors (see below), whose sum is σ = 2248985088. Its totient is φ = 187264000.

The previous prime is 705289919. The next prime is 705289939. The reversal of 705289920 is 29982507.

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, 239497 + ... + 242423.

It is an arithmetic number, because the mean of its divisors is an integer number (20080224).

Almost surely, 2^705289920 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 705289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124492544).

705289920 is an abundant number, since it is smaller than the sum of its proper divisors (1543695168).

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

705289920 is a wasteful number, since it uses less digits than its factorization.

705289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 705289920 is about 26557.2950429821. The cubic root of 705289920 is about 890.1350298007.

The spelling of 705289920 in words is "seven hundred five million, two hundred eighty-nine thousand, nine hundred twenty".