8378100 has 144 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 2136960.

The previous prime is 8378087. The next prime is 8378101. The reversal of 8378100 is 18738.

It is a super-2 number, since 2×8378100² = 140385119220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8378101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78247 + ... + 78353.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 2^8378100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8378100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

8378100 is an abundant number, since it is smaller than the sum of its proper divisors (19745100).

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

8378100 is a wasteful number, since it uses less digits than its factorization.

8378100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 8378100 is about 2894.4947745677. The cubic root of 8378100 is about 203.1024582480.

The spelling of 8378100 in words is "eight million, three hundred seventy-eight thousand, one hundred".