8275904784 has 375 divisors, whose sum is σ = 29411504727. Its totient is φ = 2240094528.

The previous prime is 8275904779. The next prime is 8275904839. The reversal of 8275904784 is 4874095728.

It is a happy number.

The square root of 8275904784 is 90972.

It is a perfect power (a square), and thus also a powerful number.

8275904784 is a `hidden beast` number, since 8 + 2 + 7 + 590 + 47 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8275904784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 435573927 + ... + 435573945.

Almost surely, 2^8275904784 is an apocalyptic number.

8275904784 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8275904784 is the 90972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8275904784

8275904784 is an abundant number, since it is smaller than the sum of its proper divisors (21135599943).

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

8275904784 is an frugal number, since it uses more digits than its factorization.

8275904784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The cubic root of 8275904784 is about 2022.7326985660.

The spelling of 8275904784 in words is "eight billion, two hundred seventy-five million, nine hundred four thousand, seven hundred eighty-four".