76664 has 24 divisors (see below), whose sum is σ = 168840. Its totient is φ = 31968.

The previous prime is 76651. The next prime is 76667. The reversal of 76664 is 46667.

It is a plaindrome in base 15.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2054 + ... + 2090.

It is an arithmetic number, because the mean of its divisors is an integer number (7035).

2⁷⁶⁶⁶⁴ is an apocalyptic number.

76664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84420).

76664 is an abundant number, since it is smaller than the sum of its proper divisors (92176).

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

76664 is a wasteful number, since it uses less digits than its factorization.

76664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 76664 is about 276.8826466213. The cubic root of 76664 is about 42.4812373928.

The spelling of 76664 in words is "seventy-six thousand, six hundred sixty-four".