77004 has 48 divisors (see below), whose sum is σ = 215040. Its totient is φ = 23760.

The previous prime is 77003. The next prime is 77017. The reversal of 77004 is 40077.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77003) 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, 2469 + ... + 2499.

It is an arithmetic number, because the mean of its divisors is an integer number (4480).

2⁷⁷⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520).

77004 is an abundant number, since it is smaller than the sum of its proper divisors (138036).

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

77004 is a wasteful number, since it uses less digits than its factorization.

77004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 77004 is about 277.4959459163. The cubic root of 77004 is about 42.5439453173.

77004 divided by its sum of digits (18) gives a triangular number (4278 = T₉₂).

The spelling of 77004 in words is "seventy-seven thousand, four", and thus it is an iban number.