705204864 has 432 divisors, whose sum is σ = 2626852410. Its totient is φ = 179988480.

The previous prime is 705204827. The next prime is 705204883. The reversal of 705204864 is 468402507.

705204864 is a `hidden beast` number, since 70 + 520 + 4 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 678081600 + 27123264 = 26040^2 + 5208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22748529 + ... + 22748559.

Almost surely, 2^705204864 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 705204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313426205).

705204864 is an abundant number, since it is smaller than the sum of its proper divisors (1921647546).

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

705204864 is a wasteful number, since it uses less digits than its factorization.

705204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 705204864 is about 26555.6936267912. The cubic root of 705204864 is about 890.0992457603.

The spelling of 705204864 in words is "seven hundred five million, two hundred four thousand, eight hundred sixty-four".