729780040 has 96 divisors (see below), whose sum is σ = 1820206080. Its totient is φ = 263120000.

The previous prime is 729780019. The next prime is 729780049. The reversal of 729780040 is 40087927.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (729780049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633465 + ... + 634615.

It is an arithmetic number, because the mean of its divisors is an integer number (18960480).

Almost surely, 2^729780040 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 729780040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910103040).

729780040 is an abundant number, since it is smaller than the sum of its proper divisors (1090426040).

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

729780040 is a wasteful number, since it uses less digits than its factorization.

729780040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 729780040 is about 27014.4413231146. The cubic root of 729780040 is about 900.3208896903.

The spelling of 729780040 in words is "seven hundred twenty-nine million, seven hundred eighty thousand, forty".