27764440 has 64 divisors (see below), whose sum is σ = 69012000. Its totient is φ = 9968640.

The previous prime is 27764411. The next prime is 27764449. The reversal of 27764440 is 4446772.

It is a junction number, because it is equal to n+sod(n) for n = 27764396 and 27764405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27764449) 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, 38806 + ... + 39514.

Almost surely, 2^27764440 is an apocalyptic number.

27764440 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 27764440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34506000).

27764440 is an abundant number, since it is smaller than the sum of its proper divisors (41247560).

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

27764440 is a wasteful number, since it uses less digits than its factorization.

27764440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 27764440 is about 5269.1972823192. The cubic root of 27764440 is about 302.8049516771.

It can be divided in two parts, 27 and 764440, that added together give a palindrome (764467).

The spelling of 27764440 in words is "twenty-seven million, seven hundred sixty-four thousand, four hundred forty".