6877384900 has 27 divisors (see below), whose sum is σ = 14925725031. Its totient is φ = 2750622240.

The previous prime is 6877384873. The next prime is 6877384903. The reversal of 6877384900 is 94837786.

It is a happy number.

The square root of 6877384900 is 82930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1253584836 + 5623800064 = 35406^2 + 74992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6877384903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 825154 + ... + 833446.

Almost surely, 2^6877384900 is an apocalyptic number.

6877384900 is the 82930-th square number.

It is an amenable number.

6877384900 is an abundant number, since it is smaller than the sum of its proper divisors (8048340131).

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

6877384900 is an frugal number, since it uses more digits than its factorization.

6877384900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16600 (or 8300 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The cubic root of 6877384900 is about 1901.6960755392.

The spelling of 6877384900 in words is "six billion, eight hundred seventy-seven million, three hundred eighty-four thousand, nine hundred".