77638 has 8 divisors (see below), whose sum is σ = 127080. Its totient is φ = 35280.

The previous prime is 77621. The next prime is 77641. The reversal of 77638 is 83677.

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

It is a congruent number.

It is an unprimeable number.

77638 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, 1743 + ... + 1786.

It is an arithmetic number, because the mean of its divisors is an integer number (15885).

2⁷⁷⁶³⁸ is an apocalyptic number.

77638 is a deficient number, since it is larger than the sum of its proper divisors (49442).

77638 is a wasteful number, since it uses less digits than its factorization.

77638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542.

The product of its digits is 7056, while the sum is 31.

The square root of 77638 is about 278.6359632208. The cubic root of 77638 is about 42.6603859027.

The spelling of 77638 in words is "seventy-seven thousand, six hundred thirty-eight".