27764380 has 72 divisors (see below), whose sum is σ = 69579216. Its totient is φ = 9273600.

The previous prime is 27764353. The next prime is 27764389. The reversal of 27764380 is 8346772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27764389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39835 + ... + 40525.

It is an arithmetic number, because the mean of its divisors is an integer number (966378).

Almost surely, 2^27764380 is an apocalyptic number.

27764380 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 27764380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34789608).

27764380 is an abundant number, since it is smaller than the sum of its proper divisors (41814836).

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

27764380 is a wasteful number, since it uses less digits than its factorization.

27764380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 27764380 is about 5269.1915888493. The cubic root of 27764380 is about 302.8047335526.

The spelling of 27764380 in words is "twenty-seven million, seven hundred sixty-four thousand, three hundred eighty".