704769600 has 336 divisors, whose sum is σ = 2460467520. Its totient is φ = 176332800.

The previous prime is 704769589. The next prime is 704769607. The reversal of 704769600 is 6967407.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (704769607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8491159 + ... + 8491241.

It is an arithmetic number, because the mean of its divisors is an integer number (7322820).

Almost surely, 2^704769600 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 704769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230233760).

704769600 is an abundant number, since it is smaller than the sum of its proper divisors (1755697920).

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

704769600 is a wasteful number, since it uses less digits than its factorization.

704769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 704769600 is about 26547.4970571615. The cubic root of 704769600 is about 889.9160801233.

The spelling of 704769600 in words is "seven hundred four million, seven hundred sixty-nine thousand, six hundred".