27766080 has 168 divisors, whose sum is σ = 98901504. Its totient is φ = 7142400.

The previous prime is 27766069. The next prime is 27766093. The reversal of 27766080 is 8066772.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89125 + ... + 89435.

Almost surely, 2^27766080 is an apocalyptic number.

27766080 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 27766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49450752).

27766080 is an abundant number, since it is smaller than the sum of its proper divisors (71135424).

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

27766080 is a wasteful number, since it uses less digits than its factorization.

27766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 27766080 is about 5269.3529014481. The cubic root of 27766080 is about 302.8109136239.

The spelling of 27766080 in words is "twenty-seven million, seven hundred sixty-six thousand, eighty".