6777828900 has 216 divisors, whose sum is σ = 22572242784. Its totient is φ = 1763078400.

The previous prime is 6777828847. The next prime is 6777828913. The reversal of 6777828900 is 98287776.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 992899 + ... + 999701.

It is an arithmetic number, because the mean of its divisors is an integer number (104501124).

Almost surely, 2^6777828900 is an apocalyptic number.

6777828900 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 6777828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11286121392).

6777828900 is an abundant number, since it is smaller than the sum of its proper divisors (15794413884).

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

6777828900 is a wasteful number, since it uses less digits than its factorization.

6777828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 6777828900 is about 82327.5707160123. The cubic root of 6777828900 is about 1892.4752150002.

The spelling of 6777828900 in words is "six billion, seven hundred seventy-seven million, eight hundred twenty-eight thousand, nine hundred".