730905600 has 264 divisors, whose sum is σ = 2501728768. Its totient is φ = 188006400.

The previous prime is 730905577. The next prime is 730905619. The reversal of 730905600 is 6509037.

It is a super-2 number, since 2×730905600² = 1068445992222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2380647 + ... + 2380953.

Almost surely, 2^730905600 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 730905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250864384).

730905600 is an abundant number, since it is smaller than the sum of its proper divisors (1770823168).

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

730905600 is a wasteful number, since it uses less digits than its factorization.

730905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 730905600 is about 27035.2658577644. The cubic root of 730905600 is about 900.7835152261.

The spelling of 730905600 in words is "seven hundred thirty million, nine hundred five thousand, six hundred".