730181760 has 384 divisors, whose sum is σ = 2930256000. Its totient is φ = 151388160.

The previous prime is 730181741. The next prime is 730181789. The reversal of 730181760 is 67181037.

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 (33).

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 47 ways as a sum of consecutive naturals, for example, 1626016 + ... + 1626464.

It is an arithmetic number, because the mean of its divisors is an integer number (7630875).

Almost surely, 2^730181760 is an apocalyptic number.

730181760 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 730181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465128000).

730181760 is an abundant number, since it is smaller than the sum of its proper divisors (2200074240).

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

730181760 is a wasteful number, since it uses less digits than its factorization.

730181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 730181760 is about 27021.8755825720. The cubic root of 730181760 is about 900.4860584373.

The spelling of 730181760 in words is "seven hundred thirty million, one hundred eighty-one thousand, seven hundred sixty".