729322880 has 192 divisors, whose sum is σ = 2062966320. Its totient is φ = 244408320.

The previous prime is 729322879. The next prime is 729322897. The reversal of 729322880 is 88223927.

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 23 ways as a sum of consecutive naturals, for example, 1189454 + ... + 1190066.

Almost surely, 2^729322880 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 729322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031483160).

729322880 is an abundant number, since it is smaller than the sum of its proper divisors (1333643440).

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

729322880 is a wasteful number, since it uses less digits than its factorization.

729322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 729322880 is about 27005.9785973403. The cubic root of 729322880 is about 900.1328528161.

The spelling of 729322880 in words is "seven hundred twenty-nine million, three hundred twenty-two thousand, eight hundred eighty".