8278882920 has 576 divisors, whose sum is σ = 35603568000. Its totient is φ = 1628605440.

The previous prime is 8278882919. The next prime is 8278882933. The reversal of 8278882920 is 292888728.

8278882920 is a `hidden beast` number, since 8 + 278 + 88 + 292 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5792766 + ... + 5794194.

It is an arithmetic number, because the mean of its divisors is an integer number (61811750).

Almost surely, 2^8278882920 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 8278882920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17801784000).

8278882920 is an abundant number, since it is smaller than the sum of its proper divisors (27324685080).

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

8278882920 is a wasteful number, since it uses less digits than its factorization.

8278882920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 8278882920 is about 90988.3669487479. The cubic root of 8278882920 is about 2022.9753004640.

It can be divided in two parts, 8278 and 882920, that added together give a palindrome (891198).

The spelling of 8278882920 in words is "eight billion, two hundred seventy-eight million, eight hundred eighty-two thousand, nine hundred twenty".