679578900 has 576 divisors, whose sum is σ = 2762489856. Its totient is φ = 124416000.

The previous prime is 679578881. The next prime is 679578917. The reversal of 679578900 is 9875976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9309264 + ... + 9309336.

Almost surely, 2^679578900 is an apocalyptic number.

679578900 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 679578900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381244928).

679578900 is an abundant number, since it is smaller than the sum of its proper divisors (2082910956).

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

679578900 is a wasteful number, since it uses less digits than its factorization.

679578900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 679578900 is about 26068.7341464828. The cubic root of 679578900 is about 879.1843768535.

The spelling of 679578900 in words is "six hundred seventy-nine million, five hundred seventy-eight thousand, nine hundred".