705121200 has 300 divisors, whose sum is σ = 2893071280. Its totient is φ = 161118720.

The previous prime is 705121187. The next prime is 705121229. The reversal of 705121200 is 2121507.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 225246 + ... + 228354.

Almost surely, 2^705121200 is an apocalyptic number.

705121200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446535640).

705121200 is an abundant number, since it is smaller than the sum of its proper divisors (2187950080).

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

705121200 is a wasteful number, since it uses less digits than its factorization.

705121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 705121200 is about 26554.1183246592. The cubic root of 705121200 is about 890.0640445433.

Adding to 705121200 its reverse (2121507), we get a palindrome (707242707).

The spelling of 705121200 in words is "seven hundred five million, one hundred twenty-one thousand, two hundred".