706400 has 36 divisors (see below), whose sum is σ = 1726452. Its totient is φ = 282240.

The previous prime is 706373. The next prime is 706403. The reversal of 706400 is 4607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 359 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (47957).

2⁷⁰⁶⁴⁰⁰ 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 706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863226).

706400 is an abundant number, since it is smaller than the sum of its proper divisors (1020052).

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

706400 is a wasteful number, since it uses less digits than its factorization.

706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 706400 is about 840.4760555780. The cubic root of 706400 is about 89.0601789690.

The spelling of 706400 in words is "seven hundred six thousand, four hundred".