6779875200 has 768 divisors, whose sum is σ = 27319680000. Its totient is φ = 1475174400.

The previous prime is 6779875183. The next prime is 6779875211. The reversal of 6779875200 is 25789776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95491165 + ... + 95491235.

It is an arithmetic number, because the mean of its divisors is an integer number (35572500).

Almost surely, 2^6779875200 is an apocalyptic number.

6779875200 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 6779875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840000).

6779875200 is an abundant number, since it is smaller than the sum of its proper divisors (20539804800).

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

6779875200 is a wasteful number, since it uses less digits than its factorization.

6779875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The square root of 6779875200 is about 82339.9975710468. The cubic root of 6779875200 is about 1892.6656487626.

The spelling of 6779875200 in words is "six billion, seven hundred seventy-nine million, eight hundred seventy-five thousand, two hundred".