77338314 has 40 divisors (see below), whose sum is σ = 175517760. Its totient is φ = 25448904.

The previous prime is 77338309. The next prime is 77338363. The reversal of 77338314 is 41383377.

77338314 is a `hidden beast` number, since 7 + 7 + 338 + 314 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9777 + ... + 15819.

It is an arithmetic number, because the mean of its divisors is an integer number (4387944).

Almost surely, 2^77338314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77338314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87758880).

77338314 is an abundant number, since it is smaller than the sum of its proper divisors (98179446).

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

77338314 is a wasteful number, since it uses less digits than its factorization.

77338314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6136 (or 6127 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 77338314 is about 8794.2204884799. The cubic root of 77338314 is about 426.0542481997.

The spelling of 77338314 in words is "seventy-seven million, three hundred thirty-eight thousand, three hundred fourteen".