77084 has 12 divisors (see below), whose sum is σ = 154224. Its totient is φ = 33024.

The previous prime is 77081. The next prime is 77093. The reversal of 77084 is 48077.

77084 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1349 + ... + 1404.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2⁷⁷⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

77084 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (77112).

77084 is a wasteful number, since it uses less digits than its factorization.

77084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 77084 is about 277.6400547471. The cubic root of 77084 is about 42.5586732867.

The spelling of 77084 in words is "seventy-seven thousand, eighty-four".