6278880 has 96 divisors (see below), whose sum is σ = 20127744. Its totient is φ = 1645056.

The previous prime is 6278879. The next prime is 6278897. The reversal of 6278880 is 888726.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49377 + ... + 49503.

It is an arithmetic number, because the mean of its divisors is an integer number (209664).

Almost surely, 2^6278880 is an apocalyptic number.

6278880 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 6278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063872).

6278880 is an abundant number, since it is smaller than the sum of its proper divisors (13848864).

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

6278880 is a wasteful number, since it uses less digits than its factorization.

6278880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 6278880 is about 2505.7693429364. The cubic root of 6278880 is about 184.4848585925.

The spelling of 6278880 in words is "six million, two hundred seventy-eight thousand, eight hundred eighty".