706081680 has 120 divisors (see below), whose sum is σ = 2378296440. Its totient is φ = 187729920.

The previous prime is 706081661. The next prime is 706081709. The reversal of 706081680 is 86180607.

It can be written as a sum of positive squares in 4 ways, for example, as 26749584 + 679332096 = 5172^2 + 26064^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278820 + ... + 281340.

It is an arithmetic number, because the mean of its divisors is an integer number (19819137).

Almost surely, 2^706081680 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 706081680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189148220).

706081680 is an abundant number, since it is smaller than the sum of its proper divisors (1672214760).

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

706081680 is a wasteful number, since it uses less digits than its factorization.

706081680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 706081680 is about 26572.1975003950. The cubic root of 706081680 is about 890.4679944104.

The spelling of 706081680 in words is "seven hundred six million, eighty-one thousand, six hundred eighty".