705760 has 48 divisors (see below), whose sum is σ = 1823472. Its totient is φ = 256000.

The previous prime is 705751. The next prime is 705763. The reversal of 705760 is 67507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1560 + ... + 1960.

It is an arithmetic number, because the mean of its divisors is an integer number (37989).

2⁷⁰⁵⁷⁶⁰ 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 705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911736).

705760 is an abundant number, since it is smaller than the sum of its proper divisors (1117712).

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

705760 is a wasteful number, since it uses less digits than its factorization.

705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 705760 is about 840.0952326969. The cubic root of 705760 is about 89.0332746009.

It can be divided in two parts, 7057 and 60, that added together give a palindrome (7117).

The spelling of 705760 in words is "seven hundred five thousand, seven hundred sixty".