77994 has 24 divisors (see below), whose sum is σ = 193440. Its totient is φ = 22248.

The previous prime is 77983. The next prime is 77999. The reversal of 77994 is 49977.

It is not an unprimeable number, because it can be changed into a prime (77999) by changing a digit.

77994 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (8060).

2⁷⁷⁹⁹⁴ is an apocalyptic number.

77994 is an abundant number, since it is smaller than the sum of its proper divisors (115446).

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 (96720).

77994 is a wasteful number, since it uses less digits than its factorization.

77994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 631 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 77994 is about 279.2740589457. The cubic root of 77994 is about 42.7254912354.

It can be divided in two parts, 7 and 7994, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 77994 in words is "seventy-seven thousand, nine hundred ninety-four".