704278400 has 192 divisors, whose sum is σ = 2076295680. Its totient is φ = 230799360.

The previous prime is 704278391. The next prime is 704278403. The reversal of 704278400 is 4872407.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704278403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514517 + ... + 515883.

It is an arithmetic number, because the mean of its divisors is an integer number (10814040).

Almost surely, 2^704278400 is an apocalyptic number.

704278400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 704278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038147840).

704278400 is an abundant number, since it is smaller than the sum of its proper divisors (1372017280).

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

704278400 is a wasteful number, since it uses less digits than its factorization.

704278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 704278400 is about 26538.2441016733. The cubic root of 704278400 is about 889.7092851783.

The spelling of 704278400 in words is "seven hundred four million, two hundred seventy-eight thousand, four hundred".