730735920 has 120 divisors (see below), whose sum is σ = 2479591296. Its totient is φ = 192835584.

The previous prime is 730735883. The next prime is 730735949. The reversal of 730735920 is 29537037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64609 + ... + 75071.

Almost surely, 2^730735920 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 730735920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239795648).

730735920 is an abundant number, since it is smaller than the sum of its proper divisors (1748855376).

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

730735920 is a wasteful number, since it uses less digits than its factorization.

730735920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10579 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 730735920 is about 27032.1275522294. The cubic root of 730735920 is about 900.7138040915.

The spelling of 730735920 in words is "seven hundred thirty million, seven hundred thirty-five thousand, nine hundred twenty".