77634 has 24 divisors (see below), whose sum is σ = 177840. Its totient is φ = 24408.

The previous prime is 77621. The next prime is 77641. The reversal of 77634 is 43677.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77598 and 77607.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (7410).

2⁷⁷⁶³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88920).

77634 is an abundant number, since it is smaller than the sum of its proper divisors (100206).

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

77634 is a wasteful number, since it uses less digits than its factorization.

77634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 251 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 77634 is about 278.6287853040. The cubic root of 77634 is about 42.6596532526.

The spelling of 77634 in words is "seventy-seven thousand, six hundred thirty-four".