27770976 has 72 divisors (see below), whose sum is σ = 79521624. Its totient is φ = 9192960.

The previous prime is 27770957. The next prime is 27770987. The reversal of 27770976 is 67907772.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60540 + ... + 60996.

It is an arithmetic number, because the mean of its divisors is an integer number (1104467).

Almost surely, 2^27770976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27770976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39760812).

27770976 is an abundant number, since it is smaller than the sum of its proper divisors (51750648).

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

27770976 is a wasteful number, since it uses less digits than its factorization.

27770976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The square root of 27770976 is about 5269.8174541439. The cubic root of 27770976 is about 302.8287108199.

It can be divided in two parts, 277 and 70976, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 27770976 in words is "twenty-seven million, seven hundred seventy thousand, nine hundred seventy-six".