679800 has 96 divisors (see below), whose sum is σ = 2321280. Its totient is φ = 163200.

The previous prime is 679793. The next prime is 679807. The reversal of 679800 is 8976.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (679793) and next prime (679807).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679807) by changing a digit.

679800 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 23 ways as a sum of consecutive naturals, for example, 6549 + ... + 6651.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2⁶⁷⁹⁸⁰⁰ is an apocalyptic number.

679800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 824×825.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160640).

679800 is an abundant number, since it is smaller than the sum of its proper divisors (1641480).

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

679800 is a wasteful number, since it uses less digits than its factorization.

679800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 679800 is about 824.4998483930. The cubic root of 679800 is about 87.9279713632.

The spelling of 679800 in words is "six hundred seventy-nine thousand, eight hundred".