77814 has 32 divisors (see below), whose sum is σ = 190080. Its totient is φ = 23400.

The previous prime is 77813. The next prime is 77839. The reversal of 77814 is 41877.

77814 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

2⁷⁷⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95040).

77814 is an abundant number, since it is smaller than the sum of its proper divisors (112266).

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

77814 is a wasteful number, since it uses less digits than its factorization.

77814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 77814 is about 278.9516087066. The cubic root of 77814 is about 42.6925976268.

Adding to 77814 its sum of digits (27), we get a square (77841 = 279²).

77814 divided by its sum of digits (27) gives a palindrome (2882).

Subtracting from 77814 its reverse (41877), we obtain a cube (35937 = 33³).

The spelling of 77814 in words is "seventy-seven thousand, eight hundred fourteen".