27320784100 has 27 divisors (see below), whose sum is σ = 59289688507. Its totient is φ = 10927652480.

The previous prime is 27320784077. The next prime is 27320784109. The reversal of 27320784100 is 148702372.

The square root of 27320784100 is 165290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2887342756 + 24433441344 = 53734^2 + 156312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27320784109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1644636 + ... + 1661164.

Almost surely, 2^27320784100 is an apocalyptic number.

27320784100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27320784100 is the 165290-th square number.

It is an amenable number.

27320784100 is an abundant number, since it is smaller than the sum of its proper divisors (31968904407).

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

27320784100 is an frugal number, since it uses more digits than its factorization.

27320784100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33072 (or 16536 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 27320784100 in words is "twenty-seven billion, three hundred twenty million, seven hundred eighty-four thousand, one hundred".