27772960 has 48 divisors (see below), whose sum is σ = 68475456. Its totient is φ = 10624768.

The previous prime is 27772933. The next prime is 27772961. The reversal of 27772960 is 6927772.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (27772961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 7453.

It is an arithmetic number, because the mean of its divisors is an integer number (1426572).

Almost surely, 2^27772960 is an apocalyptic number.

27772960 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 27772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34237728).

27772960 is an abundant number, since it is smaller than the sum of its proper divisors (40702496).

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

27772960 is a wasteful number, since it uses less digits than its factorization.

27772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 27772960 is about 5270.0056925965. The cubic root of 27772960 is about 302.8359221599.

It can be divided in two parts, 277 and 72960, that added together give a palindrome (73237).

The spelling of 27772960 in words is "twenty-seven million, seven hundred seventy-two thousand, nine hundred sixty".