706880 has 42 divisors (see below), whose sum is σ = 1719834. Its totient is φ = 276736.

The previous prime is 706847. The next prime is 706883. The reversal of 706880 is 88607.

It can be written as a sum of positive squares in only one way, i.e., 565504 + 141376 = 752^2 + 376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706883) by changing a digit.

706880 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 15017 + ... + 15063.

2⁷⁰⁶⁸⁸⁰ 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 706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859917).

706880 is an abundant number, since it is smaller than the sum of its proper divisors (1012954).

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

706880 is an equidigital number, since it uses as much as digits as its factorization.

706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 706880 is about 840.7615595399. The cubic root of 706880 is about 89.0803465826.

The spelling of 706880 in words is "seven hundred six thousand, eight hundred eighty".