77240112 has 80 divisors (see below), whose sum is σ = 213557760. Its totient is φ = 23970816.

The previous prime is 77240101. The next prime is 77240113. The reversal of 77240112 is 21104277.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (77240113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83589 + ... + 84507.

It is an arithmetic number, because the mean of its divisors is an integer number (2669472).

Almost surely, 2^77240112 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 77240112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106778880).

77240112 is an abundant number, since it is smaller than the sum of its proper divisors (136317648).

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

77240112 is a wasteful number, since it uses less digits than its factorization.

77240112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 77240112 is about 8788.6353889554. The cubic root of 77240112 is about 425.8738412817.

Adding to 77240112 its reverse (21104277), we get a palindrome (98344389).

The spelling of 77240112 in words is "seventy-seven million, two hundred forty thousand, one hundred twelve".