77874 has 8 divisors (see below), whose sum is σ = 155760. Its totient is φ = 25956.

The previous prime is 77867. The next prime is 77893. The reversal of 77874 is 47877.

Added to its reverse (47877) it gives a triangular number (125751 = T₅₀₁).

77874 is nontrivially palindromic in base 5.

It is a sphenic number, since it is the product of 3 distinct primes.

77874 is an admirable number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is an unprimeable number.

77874 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 3 ways as a sum of consecutive naturals, for example, 6484 + ... + 6495.

It is an arithmetic number, because the mean of its divisors is an integer number (19470).

2⁷⁷⁸⁷⁴ is an apocalyptic number.

77874 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (77880).

77874 is a wasteful number, since it uses less digits than its factorization.

77874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12984.

The product of its digits is 10976, while the sum is 33.

The square root of 77874 is about 279.0591335183. The cubic root of 77874 is about 42.7035677940.

Subtracting from 77874 its sum of digits (33), we obtain a square (77841 = 279²).

Adding to 77874 its reverse (47877), we get a triangular number (125751 = T₅₀₁).

The spelling of 77874 in words is "seventy-seven thousand, eight hundred seventy-four".