706385760 has 96 divisors (see below), whose sum is σ = 2262919680. Its totient is φ = 185169408.

The previous prime is 706385753. The next prime is 706385773. The reversal of 706385760 is 67583607.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15849 + ... + 40791.

It is an arithmetic number, because the mean of its divisors is an integer number (23572080).

Almost surely, 2^706385760 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 706385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131459840).

706385760 is an abundant number, since it is smaller than the sum of its proper divisors (1556533920).

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

706385760 is a wasteful number, since it uses less digits than its factorization.

706385760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25020 (or 25012 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 706385760 is about 26577.9186544018. The cubic root of 706385760 is about 890.5958052357.

The spelling of 706385760 in words is "seven hundred six million, three hundred eighty-five thousand, seven hundred sixty".