705438720 has 440 divisors, whose sum is σ = 2900910144. Its totient is φ = 161243136.

The previous prime is 705438719. The next prime is 705438787. The reversal of 705438720 is 27834507.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100776957 + ... + 100776963.

Almost surely, 2^705438720 is an apocalyptic number.

705438720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450455072).

705438720 is an abundant number, since it is smaller than the sum of its proper divisors (2195471424).

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

705438720 is an frugal number, since it uses more digits than its factorization.

705438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 705438720 is about 26560.0963853673. The cubic root of 705438720 is about 890.1976247586.

The spelling of 705438720 in words is "seven hundred five million, four hundred thirty-eight thousand, seven hundred twenty".