8278920 has 192 divisors, whose sum is σ = 30466800. Its totient is φ = 1935360.

The previous prime is 8278883. The next prime is 8278931. The reversal of 8278920 is 298728.

8278920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 427716 + 7851204 = 654^2 + 2802^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135690 + ... + 135750.

Almost surely, 2^8278920 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 8278920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233400).

8278920 is an abundant number, since it is smaller than the sum of its proper divisors (22187880).

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

8278920 is a wasteful number, since it uses less digits than its factorization.

8278920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8278920 is about 2877.3112448951. The cubic root of 8278920 is about 202.2978320671.

The spelling of 8278920 in words is "eight million, two hundred seventy-eight thousand, nine hundred twenty".