729803776 has 88 divisors (see below), whose sum is σ = 1594760384. Its totient is φ = 331776000.

The previous prime is 729803773. The next prime is 729803779. The reversal of 729803776 is 677308927.

It is an interprime number because it is at equal distance from previous prime (729803773) and next prime (729803779).

It is a super-2 number, since 2×729803776² = 1065227102927716352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (729803771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971401 + ... + 972151.

Almost surely, 2^729803776 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 729803776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797380192).

729803776 is an abundant number, since it is smaller than the sum of its proper divisors (864956608).

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

729803776 is a wasteful number, since it uses less digits than its factorization.

729803776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 49.

The square root of 729803776 is about 27014.8806401213. The cubic root of 729803776 is about 900.3306505241.

The spelling of 729803776 in words is "seven hundred twenty-nine million, eight hundred three thousand, seven hundred seventy-six".