730884000 has 576 divisors, whose sum is σ = 3065392512. Its totient is φ = 150528000.

The previous prime is 730883969. The next prime is 730884023. The reversal of 730884000 is 488037.

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

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, 6467944 + ... + 6468056.

It is an arithmetic number, because the mean of its divisors is an integer number (5321862).

Almost surely, 2^730884000 is an apocalyptic number.

730884000 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 730884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532696256).

730884000 is an abundant number, since it is smaller than the sum of its proper divisors (2334508512).

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

730884000 is a wasteful number, since it uses less digits than its factorization.

730884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 730884000 is about 27034.8663765886. The cubic root of 730884000 is about 900.7746417065.

The spelling of 730884000 in words is "seven hundred thirty million, eight hundred eighty-four thousand".