6879600 has 360 divisors, whose sum is σ = 30675120. Its totient is φ = 1451520.

The previous prime is 6879589. The next prime is 6879643. The reversal of 6879600 is 69786.

6879600 is digitally balanced in base 4 and base 8, because in such bases 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 (360).

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

6879600 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529194 + ... + 529206.

Almost surely, 2^6879600 is an apocalyptic number.

6879600 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 6879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337560).

6879600 is an abundant number, since it is smaller than the sum of its proper divisors (23795520).

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

6879600 is a wasteful number, since it uses less digits than its factorization.

6879600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6879600 is about 2622.8991593273. The cubic root of 6879600 is about 190.1900222651.

The spelling of 6879600 in words is "six million, eight hundred seventy-nine thousand, six hundred".