727785396 has 144 divisors (see below), whose sum is σ = 2034985680. Its totient is φ = 217958400.

The previous prime is 727785391. The next prime is 727785403. The reversal of 727785396 is 693587727.

It can be written as a sum of positive squares in 8 ways, for example, as 21288996 + 706496400 = 4614^2 + 26580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727785391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4206766 + ... + 4206938.

It is an arithmetic number, because the mean of its divisors is an integer number (14131845).

Almost surely, 2^727785396 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 727785396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017492840).

727785396 is an abundant number, since it is smaller than the sum of its proper divisors (1307200284).

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

727785396 is a wasteful number, since it uses less digits than its factorization.

727785396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 381 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 727785396 is about 26977.4979566304. The cubic root of 727785396 is about 899.4998851090.

The spelling of 727785396 in words is "seven hundred twenty-seven million, seven hundred eighty-five thousand, three hundred ninety-six".