730800 has 180 divisors, whose sum is σ = 2998320. Its totient is φ = 161280.

The previous prime is 730799. The next prime is 730811. The reversal of 730800 is 8037.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25186 + ... + 25214.

2⁷³⁰⁸⁰⁰ is an apocalyptic number.

730800 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 730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499160).

730800 is an abundant number, since it is smaller than the sum of its proper divisors (2267520).

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

730800 is a wasteful number, since it uses less digits than its factorization.

730800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 730800 is about 854.8684109265. The cubic root of 730800 is about 90.0740131913.

Adding to 730800 its reverse (8037), we get a palindrome (738837).

The spelling of 730800 in words is "seven hundred thirty thousand, eight hundred".