679544800 has 288 divisors, whose sum is σ = 1943875584. Its totient is φ = 229632000.

The previous prime is 679544779. The next prime is 679544813. The reversal of 679544800 is 8445976.

It is a super-2 number, since 2×679544800² = 923562270414080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12821574 + ... + 12821626.

It is an arithmetic number, because the mean of its divisors is an integer number (6749568).

Almost surely, 2^679544800 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 679544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971937792).

679544800 is an abundant number, since it is smaller than the sum of its proper divisors (1264330784).

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

679544800 is a wasteful number, since it uses less digits than its factorization.

679544800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 679544800 is about 26068.0800980816. The cubic root of 679544800 is about 879.1696713308.

The spelling of 679544800 in words is "six hundred seventy-nine million, five hundred forty-four thousand, eight hundred".