729708840 has 384 divisors, whose sum is σ = 2841246720. Its totient is φ = 158976000.

The previous prime is 729708827. The next prime is 729708841. The reversal of 729708840 is 48807927.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (729708841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7224790 + ... + 7224890.

It is an arithmetic number, because the mean of its divisors is an integer number (7399080).

Almost surely, 2^729708840 is an apocalyptic number.

729708840 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 729708840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420623360).

729708840 is an abundant number, since it is smaller than the sum of its proper divisors (2111537880).

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

729708840 is a wasteful number, since it uses less digits than its factorization.

729708840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 729708840 is about 27013.1234773027. The cubic root of 729708840 is about 900.2916092091.

It can be divided in two parts, 72970 and 8840, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 729708840 in words is "seven hundred twenty-nine million, seven hundred eight thousand, eight hundred forty".