679200 has 72 divisors (see below), whose sum is σ = 2218608. Its totient is φ = 180480.

The previous prime is 679183. The next prime is 679207. The reversal of 679200 is 2976.

It is a super-2 number, since 2×679200² = 922625280000, which contains 22 as substring.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (679207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2259 + ... + 2541.

It is an arithmetic number, because the mean of its divisors is an integer number (30814).

2⁶⁷⁹²⁰⁰ is an apocalyptic number.

679200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109304).

679200 is an abundant number, since it is smaller than the sum of its proper divisors (1539408).

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

679200 is a wasteful number, since it uses less digits than its factorization.

679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 679200 is about 824.1359111215. The cubic root of 679200 is about 87.9020949722.

The spelling of 679200 in words is "six hundred seventy-nine thousand, two hundred".