8378880 has 80 divisors (see below), whose sum is σ = 26810784. Its totient is φ = 2232320.

The previous prime is 8378879. The next prime is 8378893. The reversal of 8378880 is 888738.

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

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, 7135 + ... + 8225.

Almost surely, 2^8378880 is an apocalyptic number.

8378880 is a gapful number since it is divisible by the number (80) 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 8378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392).

8378880 is an abundant number, since it is smaller than the sum of its proper divisors (18431904).

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

8378880 is a wasteful number, since it uses less digits than its factorization.

8378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 8378880 is about 2894.6295099719. The cubic root of 8378880 is about 203.1087609898.

The spelling of 8378880 in words is "eight million, three hundred seventy-eight thousand, eight hundred eighty".