705780 has 48 divisors (see below), whose sum is σ = 2197440. Its totient is φ = 188064.

The previous prime is 705779. The next prime is 705781. The reversal of 705780 is 87507.

705780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (705779) and next prime (705781).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114 + ... + 1193.

It is an arithmetic number, because the mean of its divisors is an integer number (45780).

2⁷⁰⁵⁷⁸⁰ 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 705780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098720).

705780 is an abundant number, since it is smaller than the sum of its proper divisors (1491660).

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

705780 is a wasteful number, since it uses less digits than its factorization.

705780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 705780 is about 840.1071360249. The cubic root of 705780 is about 89.0341156085.

It can be divided in two parts, 705 and 780, that added together give a triangular number (1485 = T₅₄).

The spelling of 705780 in words is "seven hundred five thousand, seven hundred eighty".