730953180 has 192 divisors, whose sum is σ = 2412748800. Its totient is φ = 183202560.

The previous prime is 730953151. The next prime is 730953187. The reversal of 730953180 is 81359037.

It is a super-2 number, since 2×730953180² = 1068585102704224800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730953187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1959474 + ... + 1959846.

It is an arithmetic number, because the mean of its divisors is an integer number (12566400).

Almost surely, 2^730953180 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 730953180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206374400).

730953180 is an abundant number, since it is smaller than the sum of its proper divisors (1681795620).

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

730953180 is a wasteful number, since it uses less digits than its factorization.

730953180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 730953180 is about 27036.1458051994. The cubic root of 730953180 is about 900.8030610013.

The spelling of 730953180 in words is "seven hundred thirty million, nine hundred fifty-three thousand, one hundred eighty".