77438 has 8 divisors (see below), whose sum is σ = 120000. Its totient is φ = 37440.

The previous prime is 77431. The next prime is 77447. The reversal of 77438 is 83477.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 77438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 563 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (15000).

2⁷⁷⁴³⁸ is an apocalyptic number.

77438 is a deficient number, since it is larger than the sum of its proper divisors (42562).

77438 is a wasteful number, since it uses less digits than its factorization.

77438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282.

The product of its digits is 4704, while the sum is 29.

The square root of 77438 is about 278.2768405743. The cubic root of 77438 is about 42.6237225246.

It can be divided in two parts, 77 and 438, that added together give a palindrome (515).

The spelling of 77438 in words is "seventy-seven thousand, four hundred thirty-eight".