706758 has 48 divisors (see below), whose sum is σ = 1660176. Its totient is φ = 199680.

The previous prime is 706757. The next prime is 706763. The reversal of 706758 is 857607.

706758 = 12² + 13² + ... + 128².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17218 + ... + 17258.

It is an arithmetic number, because the mean of its divisors is an integer number (34587).

2⁷⁰⁶⁷⁵⁸ is an apocalyptic number.

706758 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 706758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830088).

706758 is an abundant number, since it is smaller than the sum of its proper divisors (953418).

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

706758 is a wasteful number, since it uses less digits than its factorization.

706758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 706758 is about 840.6890031397. The cubic root of 706758 is about 89.0752215131.

The spelling of 706758 in words is "seven hundred six thousand, seven hundred fifty-eight".