77034 has 16 divisors (see below), whose sum is σ = 158688. Its totient is φ = 24912.

The previous prime is 77029. The next prime is 77041. The reversal of 77034 is 43077.

It is a self number, because there is not a number n which added to its sum of digits gives 77034.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77034.

It is an unprimeable number.

77034 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (9918).

2⁷⁷⁰³⁴ is an apocalyptic number.

77034 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

77034 is an abundant number, since it is smaller than the sum of its proper divisors (81654).

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 (79344).

77034 is a wasteful number, since it uses less digits than its factorization.

77034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389.

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 77034 is about 277.5499954963. The cubic root of 77034 is about 42.5494695007.

The spelling of 77034 in words is "seventy-seven thousand, thirty-four".