705978 has 48 divisors (see below), whose sum is σ = 1886976. Its totient is φ = 185760.

The previous prime is 705973. The next prime is 705989. The reversal of 705978 is 879507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705973) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1423 + ... + 1853.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2⁷⁰⁵⁹⁷⁸ is an apocalyptic number.

705978 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 705978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488).

705978 is an abundant number, since it is smaller than the sum of its proper divisors (1180998).

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

705978 is a wasteful number, since it uses less digits than its factorization.

705978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 705978 is about 840.2249698741. The cubic root of 705978 is about 89.0424407271.

The spelling of 705978 in words is "seven hundred five thousand, nine hundred seventy-eight".