27768480 has 192 divisors, whose sum is σ = 96018048. Its totient is φ = 6717440.

The previous prime is 27768427. The next prime is 27768487. The reversal of 27768480 is 8486772.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27768487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334519 + ... + 334601.

It is an arithmetic number, because the mean of its divisors is an integer number (500094).

Almost surely, 2^27768480 is an apocalyptic number.

27768480 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 27768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48009024).

27768480 is an abundant number, since it is smaller than the sum of its proper divisors (68249568).

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

27768480 is a wasteful number, since it uses less digits than its factorization.

27768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 27768480 is about 5269.5806284751. The cubic root of 27768480 is about 302.8196380009.

The spelling of 27768480 in words is "twenty-seven million, seven hundred sixty-eight thousand, four hundred eighty".