706756752 has 280 divisors, whose sum is σ = 2276937600. Its totient is φ = 211071744.

The previous prime is 706756751. The next prime is 706756769. The reversal of 706756752 is 257657607.

It is a junction number, because it is equal to n+sod(n) for n = 706756698 and 706756707.

It is not an unprimeable number, because it can be changed into a prime (706756751) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 8946249 + ... + 8946327.

It is an arithmetic number, because the mean of its divisors is an integer number (8131920).

Almost surely, 2^706756752 is an apocalyptic number.

706756752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706756752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138468800).

706756752 is an abundant number, since it is smaller than the sum of its proper divisors (1570180848).

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

706756752 is a wasteful number, since it uses less digits than its factorization.

706756752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The square root of 706756752 is about 26584.8970658154. The cubic root of 706756752 is about 890.7516908306.

The spelling of 706756752 in words is "seven hundred six million, seven hundred fifty-six thousand, seven hundred fifty-two".