706080 has 48 divisors (see below), whose sum is σ = 2225664. Its totient is φ = 188160.

The previous prime is 706067. The next prime is 706099. The reversal of 706080 is 80607.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

706080 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 7 ways as a sum of consecutive naturals, for example, 256 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (46368).

2⁷⁰⁶⁰⁸⁰ 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 706080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112832).

706080 is an abundant number, since it is smaller than the sum of its proper divisors (1519584).

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

706080 is a wasteful number, since it uses less digits than its factorization.

706080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 706080 is about 840.2856657114. The cubic root of 706080 is about 89.0467288171.

Adding to 706080 its reverse (80607), we get a palindrome (786687).

It can be divided in two parts, 7060 and 80, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 706080 in words is "seven hundred six thousand, eighty".