730857600 has 384 divisors, whose sum is σ = 2921688000. Its totient is φ = 176947200.

The previous prime is 730857583. The next prime is 730857613. The reversal of 730857600 is 6758037.

It is a tau number, because it is divible by the number of its divisors (384).

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 (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950016 + ... + 950784.

Almost surely, 2^730857600 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 730857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460844000).

730857600 is an abundant number, since it is smaller than the sum of its proper divisors (2190830400).

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

730857600 is a wasteful number, since it uses less digits than its factorization.

730857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 730857600 is about 27034.3781138017. The cubic root of 730857600 is about 900.7637960562.

The spelling of 730857600 in words is "seven hundred thirty million, eight hundred fifty-seven thousand, six hundred".