27772020 has 72 divisors (see below), whose sum is σ = 84697704. Its totient is φ = 7365888.

The previous prime is 27772013. The next prime is 27772027. The reversal of 27772020 is 2027772.

It is an interprime number because it is at equal distance from previous prime (27772013) and next prime (27772027).

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 27499536 = 522^2 + 5244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27772027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49582 + ... + 50138.

It is an arithmetic number, because the mean of its divisors is an integer number (1176357).

Almost surely, 2^27772020 is an apocalyptic number.

27772020 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 27772020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42348852).

27772020 is an abundant number, since it is smaller than the sum of its proper divisors (56925684).

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

27772020 is a wasteful number, since it uses less digits than its factorization.

27772020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 27772020 is about 5269.9165078775. The cubic root of 27772020 is about 302.8325055396.

Adding to 27772020 its reverse (2027772), we get a palindrome (29799792).

The spelling of 27772020 in words is "twenty-seven million, seven hundred seventy-two thousand, twenty".