730648800 has 648 divisors, whose sum is σ = 3183780600. Its totient is φ = 156764160.

The previous prime is 730648771. The next prime is 730648817. The reversal of 730648800 is 8846037.

730648800 is a `hidden beast` number, since 7 + 3 + 0 + 648 + 8 + 0 + 0 = 666.

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

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6703146 + ... + 6703254.

Almost surely, 2^730648800 is an apocalyptic number.

730648800 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 730648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591890300).

730648800 is an abundant number, since it is smaller than the sum of its proper divisors (2453131800).

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

730648800 is a wasteful number, since it uses less digits than its factorization.

730648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 730648800 is about 27030.5160883029. The cubic root of 730648800 is about 900.6780076188.

The spelling of 730648800 in words is "seven hundred thirty million, six hundred forty-eight thousand, eight hundred".