77350112 has 48 divisors (see below), whose sum is σ = 175472640. Its totient is φ = 32876928.

The previous prime is 77350103. The next prime is 77350123. The reversal of 77350112 is 21105377.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27089 + ... + 29807.

It is an arithmetic number, because the mean of its divisors is an integer number (3655680).

Almost surely, 2^77350112 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 77350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87736320).

77350112 is an abundant number, since it is smaller than the sum of its proper divisors (98122528).

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

77350112 is a wasteful number, since it uses less digits than its factorization.

77350112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 77350112 is about 8794.8912443532. The cubic root of 77350112 is about 426.0759120304.

Adding to 77350112 its reverse (21105377), we get a palindrome (98455489).

The spelling of 77350112 in words is "seventy-seven million, three hundred fifty thousand, one hundred twelve".