708768 has 72 divisors (see below), whose sum is σ = 2122848. Its totient is φ = 223872.

The previous prime is 708751. The next prime is 708803. The reversal of 708768 is 867807.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6571 + ... + 6677.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2⁷⁰⁸⁷⁶⁸ 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 708768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424).

708768 is an abundant number, since it is smaller than the sum of its proper divisors (1414080).

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

708768 is a wasteful number, since it uses less digits than its factorization.

708768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 708768 is about 841.8836024059. The cubic root of 708768 is about 89.1595840688.

The spelling of 708768 in words is "seven hundred eight thousand, seven hundred sixty-eight".