77934 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 25080.

The previous prime is 77933. The next prime is 77951. The reversal of 77934 is 43977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77933) 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, 24 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2⁷⁷⁹³⁴ is an apocalyptic number.

77934 is an abundant number, since it is smaller than the sum of its proper divisors (83346).

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 (80640).

77934 is a wasteful number, since it uses less digits than its factorization.

77934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455.

The product of its digits is 5292, while the sum is 30.

The square root of 77934 is about 279.1666169154. The cubic root of 77934 is about 42.7145323278.

The spelling of 77934 in words is "seventy-seven thousand, nine hundred thirty-four".