79764 has 36 divisors (see below), whose sum is σ = 206304. Its totient is φ = 23936.

The previous prime is 79757. The next prime is 79769. The reversal of 79764 is 46797.

79764 = T₈₅ + T₈₆ + ... + T₁₀₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79769) by changing a digit.

79764 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, 3457 + ... + 3479.

2⁷⁹⁷⁶⁴ 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 79764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103152).

79764 is an abundant number, since it is smaller than the sum of its proper divisors (126540).

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

79764 is a wasteful number, since it uses less digits than its factorization.

79764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 45 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 79764 is about 282.4252113392. The cubic root of 79764 is about 43.0462815189.

Adding to 79764 its sum of digits (33), we get a palindrome (79797).

It can be divided in two parts, 797 and 64, that added together give a triangular number (861 = T₄₁).

The spelling of 79764 in words is "seventy-nine thousand, seven hundred sixty-four".