77348 has 12 divisors (see below), whose sum is σ = 138012. Its totient is φ = 37920.

The previous prime is 77347. The next prime is 77351. The reversal of 77348 is 84377.

It can be written as a sum of positive squares in 2 ways, for example, as 3364 + 73984 = 58^2 + 272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 77348.

It is not an unprimeable number, because it can be changed into a prime (77347) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 86 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (11501).

2⁷⁷³⁴⁸ is an apocalyptic number.

It is an amenable number.

77348 is a deficient number, since it is larger than the sum of its proper divisors (60664).

77348 is a wasteful number, since it uses less digits than its factorization.

77348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 380 counting only the distinct ones).

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

The square root of 77348 is about 278.1150840929. The cubic root of 77348 is about 42.6072034077.

Adding to 77348 its sum of digits (29), we get a palindrome (77377).

It can be divided in two parts, 77 and 348, that multiplied together give a triangular number (26796 = T₂₃₁).

The spelling of 77348 in words is "seventy-seven thousand, three hundred forty-eight".