706772352 has 256 divisors, whose sum is σ = 2252355840. Its totient is φ = 193536000.

The previous prime is 706772321. The next prime is 706772383. The reversal of 706772352 is 253277607.

It is an interprime number because it is at equal distance from previous prime (706772321) and next prime (706772383).

It is a super-2 number, since 2×706772352² = 999054315103223808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 706772352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3349527 + ... + 3349737.

It is an arithmetic number, because the mean of its divisors is an integer number (8798265).

Almost surely, 2^706772352 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 706772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126177920).

706772352 is an abundant number, since it is smaller than the sum of its proper divisors (1545583488).

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

706772352 is a wasteful number, since it uses less digits than its factorization.

706772352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

The square root of 706772352 is about 26585.1904638654. The cubic root of 706772352 is about 890.7582445349.

The spelling of 706772352 in words is "seven hundred six million, seven hundred seventy-two thousand, three hundred fifty-two".