729087840 has 576 divisors, whose sum is σ = 2971987200. Its totient is φ = 161021952.

The previous prime is 729087797. The next prime is 729087851. The reversal of 729087840 is 48780927.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9228921 + ... + 9228999.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^729087840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485993600).

729087840 is an abundant number, since it is smaller than the sum of its proper divisors (2242899360).

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

729087840 is a wasteful number, since it uses less digits than its factorization.

729087840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

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

The square root of 729087840 is about 27001.6266176688. The cubic root of 729087840 is about 900.0361466964.

It can be divided in two parts, 729087 and 840, that added together give a palindrome (729927).

The spelling of 729087840 in words is "seven hundred twenty-nine million, eighty-seven thousand, eight hundred forty".