679408800 has 288 divisors, whose sum is σ = 2598083712. Its totient is φ = 150958080.

The previous prime is 679408759. The next prime is 679408811. The reversal of 679408800 is 8804976.

It is a happy number.

679408800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 621054 + ... + 622146.

It is an arithmetic number, because the mean of its divisors is an integer number (9021124).

Almost surely, 2^679408800 is an apocalyptic number.

679408800 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 679408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299041856).

679408800 is an abundant number, since it is smaller than the sum of its proper divisors (1918674912).

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

679408800 is a wasteful number, since it uses less digits than its factorization.

679408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 679408800 is about 26065.4714133468. The cubic root of 679408800 is about 879.1110168449. Note that the first 3 decimals are identical.

The spelling of 679408800 in words is "six hundred seventy-nine million, four hundred eight thousand, eight hundred".