727849980 has 144 divisors (see below), whose sum is σ = 2593884384. Its totient is φ = 162869760.

The previous prime is 727849939. The next prime is 727850021. The reversal of 727849980 is 89948727.

727849980 is a `hidden beast` number, since 7 + 2 + 78 + 499 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (727849939) and next prime (727850021).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11602 + ... + 39878.

It is an arithmetic number, because the mean of its divisors is an integer number (18013086).

Almost surely, 2^727849980 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 727849980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296942192).

727849980 is an abundant number, since it is smaller than the sum of its proper divisors (1866034404).

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

727849980 is a wasteful number, since it uses less digits than its factorization.

727849980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28316 (or 28311 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 727849980 is about 26978.6949276647. The cubic root of 727849980 is about 899.5264916620.

The spelling of 727849980 in words is "seven hundred twenty-seven million, eight hundred forty-nine thousand, nine hundred eighty".