706404000 has 288 divisors, whose sum is σ = 2433727296. Its totient is φ = 179020800.

The previous prime is 706403993. The next prime is 706404029. The reversal of 706404000 is 404607.

It is a super-2 number, since 2×706404000² = 998013222432000000, which contains 22 as substring.

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, 16427979 + ... + 16428021.

It is an arithmetic number, because the mean of its divisors is an integer number (8450442).

Almost surely, 2^706404000 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 706404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216863648).

706404000 is an abundant number, since it is smaller than the sum of its proper divisors (1727323296).

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

706404000 is a wasteful number, since it uses less digits than its factorization.

706404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 706404000 is about 26578.2617941806. The cubic root of 706404000 is about 890.6034707015.

Adding to 706404000 its reverse (404607), we get a palindrome (706808607).

The spelling of 706404000 in words is "seven hundred six million, four hundred four thousand".