705408696 has 128 divisors (see below), whose sum is σ = 2017152000. Its totient is φ = 228324096.

The previous prime is 705408677. The next prime is 705408719. The reversal of 705408696 is 696804507.

705408696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142980 + ... + 1143596.

It is an arithmetic number, because the mean of its divisors is an integer number (15759000).

Almost surely, 2^705408696 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 705408696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008576000).

705408696 is an abundant number, since it is smaller than the sum of its proper divisors (1311743304).

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

705408696 is a wasteful number, since it uses less digits than its factorization.

705408696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 705408696 is about 26559.5311705610. The cubic root of 705408696 is about 890.1849954204.

The spelling of 705408696 in words is "seven hundred five million, four hundred eight thousand, six hundred ninety-six".