730635120 has 240 divisors, whose sum is σ = 2658892320. Its totient is φ = 184384512.

The previous prime is 730635097. The next prime is 730635127. The reversal of 730635120 is 21536037.

It is a happy number.

730635120 is a `hidden beast` number, since 7 + 3 + 0 + 635 + 1 + 20 = 666.

730635120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730635127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779292 + ... + 780228.

It is an arithmetic number, because the mean of its divisors is an integer number (11078718).

Almost surely, 2^730635120 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 730635120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329446160).

730635120 is an abundant number, since it is smaller than the sum of its proper divisors (1928257200).

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

730635120 is a wasteful number, since it uses less digits than its factorization.

730635120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 730635120 is about 27030.2630397856. The cubic root of 730635120 is about 900.6723864266.

The spelling of 730635120 in words is "seven hundred thirty million, six hundred thirty-five thousand, one hundred twenty".