730566000 has 320 divisors, whose sum is σ = 2664829440. Its totient is φ = 191289600.

The previous prime is 730565987. The next prime is 730566013. The reversal of 730566000 is 665037.

730566000 is a `hidden beast` number, since 7 + 3 + 0 + 56 + 600 + 0 = 666.

730566000 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 (730565987) and next prime (730566013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4481919 + ... + 4482081.

It is an arithmetic number, because the mean of its divisors is an integer number (8327592).

Almost surely, 2^730566000 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 730566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332414720).

730566000 is an abundant number, since it is smaller than the sum of its proper divisors (1934263440).

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

730566000 is a wasteful number, since it uses less digits than its factorization.

730566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

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

The square root of 730566000 is about 27028.9844426312. The cubic root of 730566000 is about 900.6439835403.

The spelling of 730566000 in words is "seven hundred thirty million, five hundred sixty-six thousand".