729078336 has 336 divisors, whose sum is σ = 2603560960. Its totient is φ = 190356480.

The previous prime is 729078323. The next prime is 729078341. The reversal of 729078336 is 633870927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 729078291 and 729078300.

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, 2374695 + ... + 2375001.

Almost surely, 2^729078336 is an apocalyptic number.

729078336 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301780480).

729078336 is an abundant number, since it is smaller than the sum of its proper divisors (1874482624).

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

729078336 is a wasteful number, since it uses less digits than its factorization.

729078336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 729078336 is about 27001.4506276978. The cubic root of 729078336 is about 900.0322358824.

The spelling of 729078336 in words is "seven hundred twenty-nine million, seventy-eight thousand, three hundred thirty-six".