8378320 has 20 divisors (see below), whose sum is σ = 19479780. Its totient is φ = 3351296.

The previous prime is 8378311. The next prime is 8378327. The reversal of 8378320 is 238738.

It can be written as a sum of positive squares in 2 ways, for example, as 6270016 + 2108304 = 2504^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8378327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52285 + ... + 52444.

It is an arithmetic number, because the mean of its divisors is an integer number (973989).

Almost surely, 2^8378320 is an apocalyptic number.

8378320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8378320 is an abundant number, since it is smaller than the sum of its proper divisors (11101460).

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

8378320 is a wasteful number, since it uses less digits than its factorization.

8378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104742 (or 104736 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 8378320 is about 2894.5327774962. The cubic root of 8378320 is about 203.1042359840.

The spelling of 8378320 in words is "eight million, three hundred seventy-eight thousand, three hundred twenty".