77082 has 16 divisors (see below), whose sum is σ = 159840. Its totient is φ = 24752.

The previous prime is 77081. The next prime is 77093. The reversal of 77082 is 28077.

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 7 ways as a sum of consecutive naturals, for example, 48 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (9990).

2⁷⁷⁰⁸² is an apocalyptic number.

77082 is an abundant number, since it is smaller than the sum of its proper divisors (82758).

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 (79920).

77082 is a wasteful number, since it uses less digits than its factorization.

77082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477.

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 77082 is about 277.6364529380. The cubic root of 77082 is about 42.5583052117.

The spelling of 77082 in words is "seventy-seven thousand, eighty-two".