705340800 has 288 divisors, whose sum is σ = 2651337000. Its totient is φ = 178053120.

The previous prime is 705340787. The next prime is 705340859. The reversal of 705340800 is 8043507.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 546556 + ... + 547844.

Almost surely, 2^705340800 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 705340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325668500).

705340800 is an abundant number, since it is smaller than the sum of its proper divisors (1945996200).

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

705340800 is a wasteful number, since it uses less digits than its factorization.

705340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 705340800 is about 26558.2529545902. The cubic root of 705340800 is about 890.1564342283.

The spelling of 705340800 in words is "seven hundred five million, three hundred forty thousand, eight hundred".