76464 has 50 divisors (see below), whose sum is σ = 225060. Its totient is φ = 25056.

The previous prime is 76463. The next prime is 76471. The reversal of 76464 is 46467.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4032) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (76463) 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 9 ways as a sum of consecutive naturals, for example, 1267 + ... + 1325.

2⁷⁶⁴⁶⁴ 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 76464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112530).

76464 is an abundant number, since it is smaller than the sum of its proper divisors (148596).

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

76464 is a wasteful number, since it uses less digits than its factorization.

76464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 76464 is about 276.5212469233. The cubic root of 76464 is about 42.4442637306. Note that the first 3 decimals are identical.

It can be divided in two parts, 764 and 64, that added together give a palindrome (828).

The spelling of 76464 in words is "seventy-six thousand, four hundred sixty-four".