679852800 has 648 divisors, whose sum is σ = 2817163440. Its totient is φ = 154828800.

The previous prime is 679852799. The next prime is 679852871. The reversal of 679852800 is 8258976.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18374382 + ... + 18374418.

Almost surely, 2^679852800 is an apocalyptic number.

679852800 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 679852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408581720).

679852800 is an abundant number, since it is smaller than the sum of its proper divisors (2137310640).

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

679852800 is a wasteful number, since it uses less digits than its factorization.

679852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 679852800 is about 26073.9870368918. The cubic root of 679852800 is about 879.3024775655.

The spelling of 679852800 in words is "six hundred seventy-nine million, eight hundred fifty-two thousand, eight hundred".