705621760 has 72 divisors (see below), whose sum is σ = 1700820576. Its totient is φ = 280473600.

The previous prime is 705621757. The next prime is 705621773. The reversal of 705621760 is 67126507.

705621760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 212110 + ... + 215410.

It is an arithmetic number, because the mean of its divisors is an integer number (23622508).

Almost surely, 2^705621760 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 705621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850410288).

705621760 is an abundant number, since it is smaller than the sum of its proper divisors (995198816).

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

705621760 is a wasteful number, since it uses less digits than its factorization.

705621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 705621760 is about 26563.5419325059. The cubic root of 705621760 is about 890.2746112154.

The spelling of 705621760 in words is "seven hundred five million, six hundred twenty-one thousand, seven hundred sixty".