6780456 has 32 divisors (see below), whose sum is σ = 18835200. Its totient is φ = 2260080.

The previous prime is 6780443. The next prime is 6780463. The reversal of 6780456 is 6540876.

6780456 = T₃₆₈ + T₃₆₉ + ... + T₄₄₈.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6780456.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15480 + ... + 15911.

It is an arithmetic number, because the mean of its divisors is an integer number (588600).

Almost surely, 2^6780456 is an apocalyptic number.

It is an amenable number.

6780456 is an abundant number, since it is smaller than the sum of its proper divisors (12054744).

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

6780456 is a wasteful number, since it uses less digits than its factorization.

6780456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31406 (or 31396 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6780456 is about 2603.9308746585. The cubic root of 6780456 is about 189.2719692472.

The spelling of 6780456 in words is "six million, seven hundred eighty thousand, four hundred fifty-six".