704379600 has 360 divisors, whose sum is σ = 2619332352. Its totient is φ = 174873600.

The previous prime is 704379589. The next prime is 704379601. The reversal of 704379600 is 6973407.

704379600 = 5523² + 5524² + ... + 5545².

704379600 is a `hidden beast` number, since 7 + 0 + 43 + 7 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704379601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3891510 + ... + 3891690.

Almost surely, 2^704379600 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 704379600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309666176).

704379600 is an abundant number, since it is smaller than the sum of its proper divisors (1914952752).

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

704379600 is a wasteful number, since it uses less digits than its factorization.

704379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 704379600 is about 26540.1507154726. The cubic root of 704379600 is about 889.7518981882.

The spelling of 704379600 in words is "seven hundred four million, three hundred seventy-nine thousand, six hundred".