729904896 has 216 divisors, whose sum is σ = 2428468224. Its totient is φ = 206530560.

The previous prime is 729904873. The next prime is 729904907. The reversal of 729904896 is 698409927.

729904896 is a `hidden beast` number, since 72 + 9 + 90 + 489 + 6 = 666.

It is a super-2 number, since 2×729904896² = 1065522314409541632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2693241 + ... + 2693511.

Almost surely, 2^729904896 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 729904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214234112).

729904896 is an abundant number, since it is smaller than the sum of its proper divisors (1698563328).

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

729904896 is a wasteful number, since it uses less digits than its factorization.

729904896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 729904896 is about 27016.7521364060. The cubic root of 729904896 is about 900.3722312128.

The spelling of 729904896 in words is "seven hundred twenty-nine million, nine hundred four thousand, eight hundred ninety-six".