77738 has 8 divisors (see below), whose sum is σ = 119232. Its totient is φ = 37996.

The previous prime is 77731. The next prime is 77743. The reversal of 77738 is 83777.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77738.

It is not an unprimeable number, because it can be changed into a prime (77731) by changing a digit.

77738 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 320 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (14904).

2⁷⁷⁷³⁸ is an apocalyptic number.

77738 is a deficient number, since it is larger than the sum of its proper divisors (41494).

77738 is a wasteful number, since it uses less digits than its factorization.

77738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876.

The product of its digits is 8232, while the sum is 32.

The square root of 77738 is about 278.8153510838. The cubic root of 77738 is about 42.6786939834.

The spelling of 77738 in words is "seventy-seven thousand, seven hundred thirty-eight".