704810400 has 144 divisors (see below), whose sum is σ = 2621957184. Its totient is φ = 161095680.

The previous prime is 704810383. The next prime is 704810417. The reversal of 704810400 is 4018407.

It is an interprime number because it is at equal distance from previous prime (704810383) and next prime (704810417).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4177 + ... + 37776.

It is an arithmetic number, because the mean of its divisors is an integer number (18208036).

Almost surely, 2^704810400 is an apocalyptic number.

704810400 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 704810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310978592).

704810400 is an abundant number, since it is smaller than the sum of its proper divisors (1917146784).

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

704810400 is a wasteful number, since it uses less digits than its factorization.

704810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41983 (or 41970 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 704810400 is about 26548.2654800648. The cubic root of 704810400 is about 889.9332525796.

Adding to 704810400 its reverse (4018407), we get a palindrome (708828807).

The spelling of 704810400 in words is "seven hundred four million, eight hundred ten thousand, four hundred".