6777456 has 80 divisors (see below), whose sum is σ = 20903424. Its totient is φ = 1850112.

The previous prime is 6777451. The next prime is 6777461. The reversal of 6777456 is 6547776.

It is an interprime number because it is at equal distance from previous prime (6777451) and next prime (6777461).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6777451) 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, 7290 + ... + 8166.

Almost surely, 2^6777456 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 6777456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10451712).

6777456 is an abundant number, since it is smaller than the sum of its proper divisors (14125968).

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

6777456 is a wasteful number, since it uses less digits than its factorization.

6777456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its digits is 246960, while the sum is 42.

The square root of 6777456 is about 2603.3547587680. The cubic root of 6777456 is about 189.2440507871.

The spelling of 6777456 in words is "six million, seven hundred seventy-seven thousand, four hundred fifty-six".