729794400 has 72 divisors (see below), whose sum is σ = 2375488584. Its totient is φ = 194611200.

The previous prime is 729794369. The next prime is 729794473. The reversal of 729794400 is 4497927.

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, 149641 + ... + 154440.

It is an arithmetic number, because the mean of its divisors is an integer number (32992897).

Almost surely, 2^729794400 is an apocalyptic number.

It is an amenable number.

729794400 is an abundant number, since it is smaller than the sum of its proper divisors (1645694184).

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

729794400 is a wasteful number, since it uses less digits than its factorization.

729794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304104 (or 304091 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 729794400 is about 27014.7071055749. The cubic root of 729794400 is about 900.3267949049.

The spelling of 729794400 in words is "seven hundred twenty-nine million, seven hundred ninety-four thousand, four hundred".