77064 has 48 divisors (see below), whose sum is σ = 219600. Its totient is φ = 22464.

The previous prime is 77047. The next prime is 77069. The reversal of 77064 is 46077.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (77069) by changing a digit.

77064 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 11 ways as a sum of consecutive naturals, for example, 4047 + ... + 4065.

It is an arithmetic number, because the mean of its divisors is an integer number (4575).

2⁷⁷⁰⁶⁴ 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 77064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109800).

77064 is an abundant number, since it is smaller than the sum of its proper divisors (142536).

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

77064 is a wasteful number, since it uses less digits than its factorization.

77064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 77064 is about 277.6040345528. The cubic root of 77064 is about 42.5549922500.

The spelling of 77064 in words is "seventy-seven thousand, sixty-four".