704734800 has 480 divisors, whose sum is σ = 2922670080. Its totient is φ = 140851200.

The previous prime is 704734777. The next prime is 704734831. The reversal of 704734800 is 8437407.

It is a happy number.

It is a super-2 number, since 2×704734800² = 993302276662080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2679469 + ... + 2679731.

It is an arithmetic number, because the mean of its divisors is an integer number (6088896).

Almost surely, 2^704734800 is an apocalyptic number.

704734800 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 704734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461335040).

704734800 is an abundant number, since it is smaller than the sum of its proper divisors (2217935280).

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

704734800 is a wasteful number, since it uses less digits than its factorization.

704734800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 704734800 is about 26546.8416200496. The cubic root of 704734800 is about 889.9014325045.

It can be divided in two parts, 7047 and 34800, that multiplied together give a square (245235600 = 15660²).

The spelling of 704734800 in words is "seven hundred four million, seven hundred thirty-four thousand, eight hundred".