706009200 has 240 divisors, whose sum is σ = 2459175936. Its totient is φ = 172108800.

The previous prime is 706009177. The next prime is 706009229. The reversal of 706009200 is 2900607.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2605065 + ... + 2605335.

Almost surely, 2^706009200 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 706009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229587968).

706009200 is an abundant number, since it is smaller than the sum of its proper divisors (1753166736).

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

706009200 is a wasteful number, since it uses less digits than its factorization.

706009200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 706009200 is about 26570.8336338926. The cubic root of 706009200 is about 890.4375242204.

Adding to 706009200 its reverse (2900607), we get a palindrome (708909807).

It can be divided in two parts, 70600 and 9200, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 706009200 in words is "seven hundred six million, nine thousand, two hundred".