730348800 has 108 divisors (see below), whose sum is σ = 2410366560. Its totient is φ = 194754560.

The previous prime is 730348799. The next prime is 730348807. The reversal of 730348800 is 8843037.

It is a super-2 number, since 2×730348800² = 1066818739322880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730348807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181 + ... + 38219.

Almost surely, 2^730348800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205183280).

730348800 is an abundant number, since it is smaller than the sum of its proper divisors (1680017760).

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

730348800 is a wasteful number, since it uses less digits than its factorization.

730348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38068 (or 38049 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 730348800 is about 27024.9662349465. The cubic root of 730348800 is about 900.5547197537.

The spelling of 730348800 in words is "seven hundred thirty million, three hundred forty-eight thousand, eight hundred".