730881000 has 288 divisors, whose sum is σ = 2633581080. Its totient is φ = 182784000.

The previous prime is 730880993. The next prime is 730881007. The reversal of 730881000 is 188037.

730881000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (730880993) and next prime (730881007).

It can be written as a sum of positive squares in 12 ways, for example, as 21511044 + 709369956 = 4638^2 + 26634^2 .

It is a super-2 number, since 2×730881000² = 1068374072322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730881007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2600860 + ... + 2601140.

Almost surely, 2^730881000 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 730881000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316790540).

730881000 is an abundant number, since it is smaller than the sum of its proper divisors (1902700080).

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

730881000 is a wasteful number, since it uses less digits than its factorization.

730881000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 730881000 is about 27034.8108926251. The cubic root of 730881000 is about 900.7734092594.

It can be divided in two parts, 73088 and 1000, that added together give a cube (74088 = 42³).

The spelling of 730881000 in words is "seven hundred thirty million, eight hundred eighty-one thousand".