705964900 has 27 divisors (see below), whose sum is σ = 1532520619. Its totient is φ = 282279680.

The previous prime is 705964877. The next prime is 705964939. The reversal of 705964900 is 9469507.

The square root of 705964900 is 26570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 106276 + 705858624 = 326^2 + 26568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 264372 + ... + 267028.

Almost surely, 2^705964900 is an apocalyptic number.

705964900 is the 26570-th square number.

It is an amenable number.

705964900 is an abundant number, since it is smaller than the sum of its proper divisors (826555719).

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

705964900 is an equidigital number, since it uses as much as digits as its factorization.

705964900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The cubic root of 705964900 is about 890.4188997193.

The spelling of 705964900 in words is "seven hundred five million, nine hundred sixty-four thousand, nine hundred".