77938 has 16 divisors (see below), whose sum is σ = 141120. Its totient is φ = 31536.

The previous prime is 77933. The next prime is 77951. The reversal of 77938 is 83977.

It is not an unprimeable number, because it can be changed into a prime (77933) by changing a digit.

77938 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 412.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁷⁷⁹³⁸ is an apocalyptic number.

77938 is a deficient number, since it is larger than the sum of its proper divisors (63182).

77938 is a wasteful number, since it uses less digits than its factorization.

77938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321.

The product of its digits is 10584, while the sum is 34.

The square root of 77938 is about 279.1737810039. The cubic root of 77938 is about 42.7152630966.

The spelling of 77938 in words is "seventy-seven thousand, nine hundred thirty-eight".