730329600 has 960 divisors, whose sum is σ = 3409781760. Its totient is φ = 132710400.

The previous prime is 730329529. The next prime is 730329631. The reversal of 730329600 is 6923037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38438391 + ... + 38438409.

It is an arithmetic number, because the mean of its divisors is an integer number (3551856).

Almost surely, 2^730329600 is an apocalyptic number.

730329600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704890880).

730329600 is an abundant number, since it is smaller than the sum of its proper divisors (2679452160).

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

730329600 is a wasteful number, since it uses less digits than its factorization.

730329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 730329600 is about 27024.6110055261. The cubic root of 730329600 is about 900.5468281809.

The spelling of 730329600 in words is "seven hundred thirty million, three hundred twenty-nine thousand, six hundred".