27789480 has 112 divisors (see below), whose sum is σ = 93844980. Its totient is φ = 7402752.

The previous prime is 27789467. The next prime is 27789521. The reversal of 27789480 is 8498772.

It can be written as a sum of positive squares in 2 ways, for example, as 27436644 + 352836 = 5238^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28684 + ... + 29636.

Almost surely, 2^27789480 is an apocalyptic number.

27789480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27789480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46922490).

27789480 is an abundant number, since it is smaller than the sum of its proper divisors (66055500).

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

27789480 is an equidigital number, since it uses as much as digits as its factorization.

27789480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 27789480 is about 5271.5728203260. The cubic root of 27789480 is about 302.8959548659.

The spelling of 27789480 in words is "twenty-seven million, seven hundred eighty-nine thousand, four hundred eighty".