77711112 has 96 divisors (see below), whose sum is σ = 221719680. Its totient is φ = 24541440.

The previous prime is 77711111. The next prime is 77711119. The reversal of 77711112 is 21111777.

It is not an unprimeable number, because it can be changed into a prime (77711111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276412 + ... + 276692.

It is an arithmetic number, because the mean of its divisors is an integer number (2309580).

Almost surely, 2^77711112 is an apocalyptic number.

77711112 is a gapful number since it is divisible by the number (72) 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 77711112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110859840).

77711112 is an abundant number, since it is smaller than the sum of its proper divisors (144008568).

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

77711112 is a wasteful number, since it uses less digits than its factorization.

77711112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 476 counting only the distinct ones).

The product of its digits is 686, while the sum is 27.

The square root of 77711112 is about 8815.3906322976. The cubic root of 77711112 is about 426.7377285068.

Adding to 77711112 its reverse (21111777), we get a palindrome (98822889).

The spelling of 77711112 in words is "seventy-seven million, seven hundred eleven thousand, one hundred twelve".