27880720 has 40 divisors (see below), whose sum is σ = 74084544. Its totient is φ = 9558912.

The previous prime is 27880717. The next prime is 27880789. The reversal of 27880720 is 2708872.

27880720 = T₁₆₁₉ + T₁₆₂₀ + ... + T₁₆₃₉.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24334 + ... + 25453.

Almost surely, 2^27880720 is an apocalyptic number.

27880720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27880720 is an abundant number, since it is smaller than the sum of its proper divisors (46203824).

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

27880720 is a wasteful number, since it uses less digits than its factorization.

27880720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49807 (or 49801 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 27880720 is about 5280.2196923992. The cubic root of 27880720 is about 303.2270878025.

The spelling of 27880720 in words is "twenty-seven million, eight hundred eighty thousand, seven hundred twenty".