78377 has 4 divisors (see below), whose sum is σ = 84420. Its totient is φ = 72336.

The previous prime is 78367. The next prime is 78401. The reversal of 78377 is 77387.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 77387 = 19 ⋅4073.

It can be written as a sum of positive squares in 2 ways, for example, as 44521 + 33856 = 211^2 + 184^2 .

It is a cyclic number.

It is not a de Polignac number, because 78377 - 2⁸ = 78121 is a prime.

It is a super-2 number, since 2×78377² = 12285908258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78307) 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, 3002 + ... + 3027.

It is an arithmetic number, because the mean of its divisors is an integer number (21105).

2⁷⁸³⁷⁷ is an apocalyptic number.

It is an amenable number.

78377 is a deficient number, since it is larger than the sum of its proper divisors (6043).

78377 is a wasteful number, since it uses less digits than its factorization.

78377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042.

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

The square root of 78377 is about 279.9589255587. The cubic root of 78377 is about 42.7953134881.

Subtracting from 78377 its reverse (77387), we obtain a triangular number (990 = T₄₄).

The spelling of 78377 in words is "seventy-eight thousand, three hundred seventy-seven".