77750112 has 192 divisors, whose sum is σ = 242984448. Its totient is φ = 21504000.

The previous prime is 77750111. The next prime is 77750117. The reversal of 77750112 is 21105777.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 77750112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77750111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095037 + ... + 1095107.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 2^77750112 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 77750112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121492224).

77750112 is an abundant number, since it is smaller than the sum of its proper divisors (165234336).

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

77750112 is a wasteful number, since it uses less digits than its factorization.

77750112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 30.

The square root of 77750112 is about 8817.6023952093. The cubic root of 77750112 is about 426.8091039195.

Adding to 77750112 its reverse (21105777), we get a palindrome (98855889).

The spelling of 77750112 in words is "seventy-seven million, seven hundred fifty thousand, one hundred twelve".