77384112 has 160 divisors (see below), whose sum is σ = 232485120. Its totient is φ = 21980160.

The previous prime is 77384101. The next prime is 77384141. The reversal of 77384112 is 21148377.

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, 723163 + ... + 723269.

It is an arithmetic number, because the mean of its divisors is an integer number (1453032).

Almost surely, 2^77384112 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 77384112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

77384112 is an abundant number, since it is smaller than the sum of its proper divisors (155101008).

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

77384112 is a wasteful number, since it uses less digits than its factorization.

77384112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 77384112 is about 8796.8239723209. The cubic root of 77384112 is about 426.1383315003.

The spelling of 77384112 in words is "seventy-seven million, three hundred eighty-four thousand, one hundred twelve".