27773680 has 80 divisors (see below), whose sum is σ = 72432864. Its totient is φ = 9815040.

The previous prime is 27773671. The next prime is 27773731. The reversal of 27773680 is 8637772.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32134 + ... + 32986.

Almost surely, 2^27773680 is an apocalyptic number.

27773680 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 27773680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36216432).

27773680 is an abundant number, since it is smaller than the sum of its proper divisors (44659184).

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

27773680 is a wasteful number, since it uses less digits than its factorization.

27773680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 27773680 is about 5270.0740032755. The cubic root of 27773680 is about 302.8385390936.

The spelling of 27773680 in words is "twenty-seven million, seven hundred seventy-three thousand, six hundred eighty".