6777720 has 96 divisors (see below), whose sum is σ = 22435920. Its totient is φ = 1774080.

The previous prime is 6777707. The next prime is 6777733. The reversal of 6777720 is 277776.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6777707) and next prime (6777733).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23980 + ... + 24260.

Almost surely, 2^6777720 is an apocalyptic number.

6777720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6777720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11217960).

6777720 is an abundant number, since it is smaller than the sum of its proper divisors (15658200).

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

6777720 is a wasteful number, since it uses less digits than its factorization.

6777720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 6777720 is about 2603.4054620823. The cubic root of 6777720 is about 189.2465079422.

The spelling of 6777720 in words is "six million, seven hundred seventy-seven thousand, seven hundred twenty".