729467760 has 160 divisors (see below), whose sum is σ = 2720540160. Its totient is φ = 157953024.

The previous prime is 729467759. The next prime is 729467797. The reversal of 729467760 is 67764927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20494 + ... + 43346.

It is an arithmetic number, because the mean of its divisors is an integer number (17003376).

Almost surely, 2^729467760 is an apocalyptic number.

729467760 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 729467760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360270080).

729467760 is an abundant number, since it is smaller than the sum of its proper divisors (1991072400).

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

729467760 is a wasteful number, since it uses less digits than its factorization.

729467760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22895 (or 22889 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The square root of 729467760 is about 27008.6608331476. The cubic root of 729467760 is about 900.1924526709.

The spelling of 729467760 in words is "seven hundred twenty-nine million, four hundred sixty-seven thousand, seven hundred sixty".