79464 has 64 divisors (see below), whose sum is σ = 253440. Its totient is φ = 20160.

The previous prime is 79451. The next prime is 79481. The reversal of 79464 is 46497.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

79464 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 15 ways as a sum of consecutive naturals, for example, 1827 + ... + 1869.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

2⁷⁹⁴⁶⁴ 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 79464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126720).

79464 is an abundant number, since it is smaller than the sum of its proper divisors (173976).

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

79464 is a wasteful number, since it uses less digits than its factorization.

79464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 66 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 79464 is about 281.8935969475. The cubic root of 79464 is about 42.9922466641.

It can be divided in two parts, 794 and 64, that added together give a palindrome (858).

The spelling of 79464 in words is "seventy-nine thousand, four hundred sixty-four".