729771264 has 108 divisors (see below), whose sum is σ = 2112155136. Its totient is φ = 242328576.

The previous prime is 729771227. The next prime is 729771271. The reversal of 729771264 is 462177927.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 882019 + ... + 882845.

It is an arithmetic number, because the mean of its divisors is an integer number (19556992).

Almost surely, 2^729771264 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 729771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056077568).

729771264 is an abundant number, since it is smaller than the sum of its proper divisors (1382383872).

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

729771264 is a wasteful number, since it uses less digits than its factorization.

729771264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1215 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 729771264 is about 27014.2788909865. The cubic root of 729771264 is about 900.3172807272.

The spelling of 729771264 in words is "seven hundred twenty-nine million, seven hundred seventy-one thousand, two hundred sixty-four".