706116720 has 160 divisors (see below), whose sum is σ = 2275568640. Its totient is φ = 180997120.

The previous prime is 706116713. The next prime is 706116727. The reversal of 706116720 is 27611607.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (706116713) and next prime (706116727).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706116727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664990 + ... + 666050.

It is an arithmetic number, because the mean of its divisors is an integer number (14222304).

Almost surely, 2^706116720 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 706116720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137784320).

706116720 is an abundant number, since it is smaller than the sum of its proper divisors (1569451920).

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

706116720 is a wasteful number, since it uses less digits than its factorization.

706116720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 706116720 is about 26572.8568279739. The cubic root of 706116720 is about 890.4827242843.

The spelling of 706116720 in words is "seven hundred six million, one hundred sixteen thousand, seven hundred twenty".