729797376 has 432 divisors, whose sum is σ = 2583681408. Its totient is φ = 180633600.

The previous prime is 729797363. The next prime is 729797389. The reversal of 729797376 is 673797927.

It is an interprime number because it is at equal distance from previous prime (729797363) and next prime (729797389).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16972011 + ... + 16972053.

It is an arithmetic number, because the mean of its divisors is an integer number (5980744).

Almost surely, 2^729797376 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 729797376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291840704).

729797376 is an abundant number, since it is smaller than the sum of its proper divisors (1853884032).

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

729797376 is a wasteful number, since it uses less digits than its factorization.

729797376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its digits is 7001316, while the sum is 57.

The square root of 729797376 is about 27014.7621866268. The cubic root of 729797376 is about 900.3280187057.

The spelling of 729797376 in words is "seven hundred twenty-nine million, seven hundred ninety-seven thousand, three hundred seventy-six".