6772900 has 36 divisors (see below), whose sum is σ = 14881860. Its totient is φ = 2675200.

The previous prime is 6772897. The next prime is 6772937. The reversal of 6772900 is 92776.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2643876 + 4129024 = 1626^2 + 2032^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8520 + ... + 9280.

It is an arithmetic number, because the mean of its divisors is an integer number (413385).

Almost surely, 2^6772900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6772900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440930).

6772900 is an abundant number, since it is smaller than the sum of its proper divisors (8108960).

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

6772900 is a wasteful number, since it uses less digits than its factorization.

6772900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 6772900 is about 2602.4795868556. The cubic root of 6772900 is about 189.2016361916.

The spelling of 6772900 in words is "six million, seven hundred seventy-two thousand, nine hundred".