27677680 has 80 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 10333440.

The previous prime is 27677647. The next prime is 27677693. The reversal of 27677680 is 8677672.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 199051 + ... + 199189.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^27677680 is an apocalyptic number.

27677680 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 27677680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

27677680 is an abundant number, since it is smaller than the sum of its proper divisors (41067920).

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

27677680 is a wasteful number, since it uses less digits than its factorization.

27677680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The square root of 27677680 is about 5260.9580876491. The cubic root of 27677680 is about 302.4892148330.

The spelling of 27677680 in words is "twenty-seven million, six hundred seventy-seven thousand, six hundred eighty".