730144800 has 576 divisors, whose sum is σ = 3299788800. Its totient is φ = 151372800.

The previous prime is 730144799. The next prime is 730144813. The reversal of 730144800 is 8441037.

It is a super-2 number, since 2×730144800² = 1066222857934080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1662981 + ... + 1663419.

It is an arithmetic number, because the mean of its divisors is an integer number (5728800).

Almost surely, 2^730144800 is an apocalyptic number.

730144800 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 730144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

730144800 is an abundant number, since it is smaller than the sum of its proper divisors (2569644000).

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

730144800 is a wasteful number, since it uses less digits than its factorization.

730144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 730144800 is about 27021.1916835657. The cubic root of 730144800 is about 900.4708647197.

Adding to 730144800 its reverse (8441037), we get a palindrome (738585837).

It can be divided in two parts, 730 and 144800, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 730144800 in words is "seven hundred thirty million, one hundred forty-four thousand, eight hundred".