729871884 has 216 divisors, whose sum is σ = 2281537440. Its totient is φ = 199874304.

The previous prime is 729871861. The next prime is 729871907. The reversal of 729871884 is 488178927.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (729871861) and next prime (729871907).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 729871884.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 5327464 + ... + 5327600.

Almost surely, 2^729871884 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 729871884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140768720).

729871884 is an abundant number, since it is smaller than the sum of its proper divisors (1551665556).

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

729871884 is a wasteful number, since it uses less digits than its factorization.

729871884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 729871884 is about 27016.1411752308. The cubic root of 729871884 is about 900.3586570534.

The spelling of 729871884 in words is "seven hundred twenty-nine million, eight hundred seventy-one thousand, eight hundred eighty-four".