77080 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 29440.

The previous prime is 77069. The next prime is 77081. The reversal of 77080 is 8077.

77080 = T₄₁ + T₄₂ + ... + T₈₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77081) by changing a digit.

77080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1617 + ... + 1663.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁷⁷⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

77080 is an abundant number, since it is smaller than the sum of its proper divisors (104360).

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

77080 is a wasteful number, since it uses less digits than its factorization.

77080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 77080 is about 277.6328510821. The cubic root of 77080 is about 42.5579371303.

The spelling of 77080 in words is "seventy-seven thousand, eighty".