6380880 has 80 divisors (see below), whose sum is σ = 21587904. Its totient is φ = 1546240.

The previous prime is 6380873. The next prime is 6380897. The reversal of 6380880 is 880836.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1432 + ... + 3848.

Almost surely, 2^6380880 is an apocalyptic number.

6380880 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 6380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10793952).

6380880 is an abundant number, since it is smaller than the sum of its proper divisors (15207024).

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

6380880 is a wasteful number, since it uses less digits than its factorization.

6380880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 6380880 is about 2526.0403797248. The cubic root of 6380880 is about 185.4784789635.

It can be divided in two parts, 6380 and 880, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 6380880 in words is "six million, three hundred eighty thousand, eight hundred eighty".