705768 has 32 divisors (see below), whose sum is σ = 2016960. Its totient is φ = 201600.

The previous prime is 705763. The next prime is 705769. The reversal of 705768 is 867507.

705768 = 17² + 18² + ... + 128².

It is an Ulam number.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (705763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1933 + ... + 2268.

It is an arithmetic number, because the mean of its divisors is an integer number (63030).

2⁷⁰⁵⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

705768 is an abundant number, since it is smaller than the sum of its proper divisors (1311192).

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

705768 is a wasteful number, since it uses less digits than its factorization.

705768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4213 counting only the distinct ones).

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

The square root of 705768 is about 840.0999940483. The cubic root of 705768 is about 89.0336110059.

The spelling of 705768 in words is "seven hundred five thousand, seven hundred sixty-eight".