79500 has 48 divisors (see below), whose sum is σ = 235872. Its totient is φ = 20800.

The previous prime is 79493. The next prime is 79531. The reversal of 79500 is 597.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 79500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1474 + ... + 1526.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2⁷⁹⁵⁰⁰ 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 79500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936).

79500 is an abundant number, since it is smaller than the sum of its proper divisors (156372).

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

79500 is a wasteful number, since it uses less digits than its factorization.

79500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 79500 is about 281.9574435974. The cubic root of 79500 is about 42.9987380196.

The spelling of 79500 in words is "seventy-nine thousand, five hundred".