27772900 has 81 divisors (see below), whose sum is σ = 66152667. Its totient is φ = 10118400.

The previous prime is 27772861. The next prime is 27772933. The reversal of 27772900 is 927772.

It is a happy number.

The square root of 27772900 is 5270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 649636 + 27123264 = 806^2 + 5208^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 895885 + ... + 895915.

Almost surely, 2^27772900 is an apocalyptic number.

27772900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27772900 is the 5270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27772900

27772900 is an abundant number, since it is smaller than the sum of its proper divisors (38379767).

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

27772900 is a wasteful number, since it uses less digits than its factorization.

27772900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 34.

The cubic root of 27772900 is about 302.8357040801.

The spelling of 27772900 in words is "twenty-seven million, seven hundred seventy-two thousand, nine hundred".