6777920 has 56 divisors (see below), whose sum is σ = 16459200. Its totient is φ = 2657792.

The previous prime is 6777839. The next prime is 6777923. The reversal of 6777920 is 297776.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6777923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18701 + ... + 19059.

Almost surely, 2^6777920 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 6777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229600).

6777920 is an abundant number, since it is smaller than the sum of its proper divisors (9681280).

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

6777920 is a wasteful number, since it uses less digits than its factorization.

6777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 38.

The square root of 6777920 is about 2603.4438730266. The cubic root of 6777920 is about 189.2483693808.

The spelling of 6777920 in words is "six million, seven hundred seventy-seven thousand, nine hundred twenty".