79800 has 96 divisors (see below), whose sum is σ = 297600. Its totient is φ = 17280.

The previous prime is 79777. The next prime is 79801. The reversal of 79800 is 897.

79800 is a nontrivial binomial coefficient, being equal to C(400, 2).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4191 + ... + 4209.

It is an arithmetic number, because the mean of its divisors is an integer number (3100).

2⁷⁹⁸⁰⁰ is an apocalyptic number.

79800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

79800 is the 399-th triangular number and also the 200-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800).

79800 is an abundant number, since it is smaller than the sum of its proper divisors (217800).

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

79800 is a wasteful number, since it uses less digits than its factorization.

79800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 79800 is about 282.4889378365. The cubic root of 79800 is about 43.0527565915.

The spelling of 79800 in words is "seventy-nine thousand, eight hundred".