705280 has 72 divisors (see below), whose sum is σ = 1839600. Its totient is φ = 258048.

The previous prime is 705277. The next prime is 705293. The reversal of 705280 is 82507.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24306 + ... + 24334.

It is an arithmetic number, because the mean of its divisors is an integer number (25550).

2⁷⁰⁵²⁸⁰ 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 705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919800).

705280 is an abundant number, since it is smaller than the sum of its proper divisors (1134320).

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

705280 is a wasteful number, since it uses less digits than its factorization.

705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 705280 is about 839.8095022087. The cubic root of 705280 is about 89.0130856490.

Adding to 705280 its reverse (82507), we get a palindrome (787787).

The spelling of 705280 in words is "seven hundred five thousand, two hundred eighty".