679903200 has 144 divisors (see below), whose sum is σ = 2459061360. Its totient is φ = 181301760.

The previous prime is 679903199. The next prime is 679903243. The reversal of 679903200 is 2309976.

679903200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×679903200² = 924536722740480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5862 + ... + 37338.

It is an arithmetic number, because the mean of its divisors is an integer number (17076815).

Almost surely, 2^679903200 is an apocalyptic number.

679903200 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 679903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229530680).

679903200 is an abundant number, since it is smaller than the sum of its proper divisors (1779158160).

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

679903200 is a wasteful number, since it uses less digits than its factorization.

679903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31506 (or 31487 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 679903200 is about 26074.9534994792. The cubic root of 679903200 is about 879.3242056758.

The spelling of 679903200 in words is "six hundred seventy-nine million, nine hundred three thousand, two hundred".