77427660 has 96 divisors (see below), whose sum is σ = 238210560. Its totient is φ = 18703872.

The previous prime is 77427653. The next prime is 77427719. The reversal of 77427660 is 6672477.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24744 + ... + 27696.

It is an arithmetic number, because the mean of its divisors is an integer number (2481360).

Almost surely, 2^77427660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77427660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119105280).

77427660 is an abundant number, since it is smaller than the sum of its proper divisors (160782900).

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

77427660 is a wasteful number, since it uses less digits than its factorization.

77427660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 77427660 is about 8799.2988357028. The cubic root of 77427660 is about 426.2182531259.

It can be divided in two parts, 77427 and 660, that added together give a palindrome (78087).

The spelling of 77427660 in words is "seventy-seven million, four hundred twenty-seven thousand, six hundred sixty".