27779772720 has 320 divisors, whose sum is σ = 99703618560. Its totient is φ = 6267469824.

The previous prime is 27779772701. The next prime is 27779772721. The reversal of 27779772720 is 2727797772.

It is not an unprimeable number, because it can be changed into a prime (27779772721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78696064 + ... + 78696416.

It is an arithmetic number, because the mean of its divisors is an integer number (311573808).

Almost surely, 2^27779772720 is an apocalyptic number.

27779772720 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 27779772720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49851809280).

27779772720 is an abundant number, since it is smaller than the sum of its proper divisors (71923845840).

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

27779772720 is a wasteful number, since it uses less digits than its factorization.

27779772720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 8470728, while the sum is 57.

The spelling of 27779772720 in words is "twenty-seven billion, seven hundred seventy-nine million, seven hundred seventy-two thousand, seven hundred twenty".