705144678 has 48 divisors (see below), whose sum is σ = 1635709440. Its totient is φ = 198488160.

The previous prime is 705144647. The next prime is 705144697. The reversal of 705144678 is 876441507.

705144678 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1529368 + ... + 1529828.

It is an arithmetic number, because the mean of its divisors is an integer number (34077280).

Almost surely, 2^705144678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705144678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817854720).

705144678 is an abundant number, since it is smaller than the sum of its proper divisors (930564762).

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

705144678 is an equidigital number, since it uses as much as digits as its factorization.

705144678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 705144678 is about 26554.5603992986. The cubic root of 705144678 is about 890.0739230775.

The spelling of 705144678 in words is "seven hundred five million, one hundred forty-four thousand, six hundred seventy-eight".