77380 has 24 divisors (see below), whose sum is σ = 167832. Its totient is φ = 29952.

The previous prime is 77377. The next prime is 77383. The reversal of 77380 is 8377.

It is an interprime number because it is at equal distance from previous prime (77377) and next prime (77383).

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 61504 = 126^2 + 248^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (77383) 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 7 ways as a sum of consecutive naturals, for example, 1024 + ... + 1096.

It is an arithmetic number, because the mean of its divisors is an integer number (6993).

2⁷⁷³⁸⁰ is an apocalyptic number.

It is an amenable number.

77380 is an abundant number, since it is smaller than the sum of its proper divisors (90452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83916).

77380 is a wasteful number, since it uses less digits than its factorization.

77380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 77380 is about 278.1726082849. The cubic root of 77380 is about 42.6130783388.

The spelling of 77380 in words is "seventy-seven thousand, three hundred eighty".