6772896 has 144 divisors (see below), whose sum is σ = 21831264. Its totient is φ = 2052864.

The previous prime is 6772859. The next prime is 6772897. The reversal of 6772896 is 6982776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6772897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101055 + ... + 101121.

It is an arithmetic number, because the mean of its divisors is an integer number (151606).

Almost surely, 2^6772896 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 6772896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10915632).

6772896 is an abundant number, since it is smaller than the sum of its proper divisors (15058368).

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

6772896 is a wasteful number, since it uses less digits than its factorization.

6772896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 6772896 is about 2602.4788183576. The cubic root of 6772896 is about 189.2015989448.

The spelling of 6772896 in words is "six million, seven hundred seventy-two thousand, eight hundred ninety-six".