27079680 has 176 divisors, whose sum is σ = 90788544. Its totient is φ = 6881280.

The previous prime is 27079673. The next prime is 27079681. The reversal of 27079680 is 8697072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27079681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629739 + ... + 629781.

It is an arithmetic number, because the mean of its divisors is an integer number (515844).

Almost surely, 2^27079680 is an apocalyptic number.

27079680 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 27079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45394272).

27079680 is an abundant number, since it is smaller than the sum of its proper divisors (63708864).

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

27079680 is a wasteful number, since it uses less digits than its factorization.

27079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 27079680 is about 5203.8139859146. The cubic root of 27079680 is about 300.2948212842.

The spelling of 27079680 in words is "twenty-seven million, seventy-nine thousand, six hundred eighty".