6772776 has 64 divisors (see below), whose sum is σ = 18057600. Its totient is φ = 2112768.

The previous prime is 6772771. The next prime is 6772789.

6772776 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6772771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25621 + ... + 25883.

It is an arithmetic number, because the mean of its divisors is an integer number (282150).

Almost surely, 2^6772776 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 6772776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028800).

6772776 is an abundant number, since it is smaller than the sum of its proper divisors (11284824).

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

6772776 is a wasteful number, since it uses less digits than its factorization.

6772776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its digits is 172872, while the sum is 42.

The square root of 6772776 is about 2602.4557633128. The cubic root of 6772776 is about 189.2004815337.

The spelling of 6772776 in words is "six million, seven hundred seventy-two thousand, seven hundred seventy-six".