705180 has 96 divisors (see below), whose sum is σ = 2386944. Its totient is φ = 152064.

The previous prime is 705169. The next prime is 705181. The reversal of 705180 is 81507.

705180 = 60² + 61² + ... + 132².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9624 + ... + 9696.

It is an arithmetic number, because the mean of its divisors is an integer number (24864).

2⁷⁰⁵¹⁸⁰ is an apocalyptic number.

705180 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 705180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193472).

705180 is an abundant number, since it is smaller than the sum of its proper divisors (1681764).

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

705180 is a wasteful number, since it uses less digits than its factorization.

705180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 705180 is about 839.7499627865. The cubic root of 705180 is about 89.0088784645.

Adding to 705180 its reverse (81507), we get a palindrome (786687).

The spelling of 705180 in words is "seven hundred five thousand, one hundred eighty".