704375200 has 144 divisors (see below), whose sum is σ = 1802931480. Its totient is φ = 268369920.

The previous prime is 704375173. The next prime is 704375213. The reversal of 704375200 is 2573407.

It can be written as a sum of positive squares in 12 ways, for example, as 9314704 + 695060496 = 3052^2 + 26364^2 .

It is a super-2 number, since 2×704375200² = 992288844750080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2250244 + ... + 2250556.

Almost surely, 2^704375200 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 704375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901465740).

704375200 is an abundant number, since it is smaller than the sum of its proper divisors (1098556280).

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

704375200 is a wasteful number, since it uses less digits than its factorization.

704375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 704375200 is about 26540.0678220686. The cubic root of 704375200 is about 889.7500455336.

The spelling of 704375200 in words is "seven hundred four million, three hundred seventy-five thousand, two hundred".