6886779900 has 1152 divisors, whose sum is σ = 30238064640. Its totient is φ = 1161216000.

The previous prime is 6886779871. The next prime is 6886779937. The reversal of 6886779900 is 99776886.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 96996865 + ... + 96996935.

It is an arithmetic number, because the mean of its divisors is an integer number (26248320).

Almost surely, 2^6886779900 is an apocalyptic number.

6886779900 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 6886779900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119032320).

6886779900 is an abundant number, since it is smaller than the sum of its proper divisors (23351284740).

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

6886779900 is a wasteful number, since it uses less digits than its factorization.

6886779900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The square root of 6886779900 is about 82986.6248259320. The cubic root of 6886779900 is about 1902.5616325035.

The spelling of 6886779900 in words is "six billion, eight hundred eighty-six million, seven hundred seventy-nine thousand, nine hundred".