77504 has 28 divisors (see below), whose sum is σ = 176784. Its totient is φ = 33024.

The previous prime is 77491. The next prime is 77509. The reversal of 77504 is 40577.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 77504.

It is not an unprimeable number, because it can be changed into a prime (77509) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 362 + ... + 534.

2⁷⁷⁵⁰⁴ 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 77504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88392).

77504 is an abundant number, since it is smaller than the sum of its proper divisors (99280).

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

77504 is a wasteful number, since it uses less digits than its factorization.

77504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 77504 is about 278.3954022609. The cubic root of 77504 is about 42.6358284108.

The spelling of 77504 in words is "seventy-seven thousand, five hundred four".