27776980 has 96 divisors (see below), whose sum is σ = 77075712. Its totient is φ = 8140800.

The previous prime is 27776977. The next prime is 27776981. The reversal of 27776980 is 8967772.

It is a self number, because there is not a number n which added to its sum of digits gives 27776980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27776981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25650 + ... + 26710.

It is an arithmetic number, because the mean of its divisors is an integer number (802872).

Almost surely, 2^27776980 is an apocalyptic number.

27776980 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 27776980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38537856).

27776980 is an abundant number, since it is smaller than the sum of its proper divisors (49298732).

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

27776980 is a wasteful number, since it uses less digits than its factorization.

27776980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The square root of 27776980 is about 5270.3870825585. The cubic root of 27776980 is about 302.8505327941.

The spelling of 27776980 in words is "twenty-seven million, seven hundred seventy-six thousand, nine hundred eighty".