7817285008 has 160 divisors (see below), whose sum is σ = 17562313440. Its totient is φ = 3344302080.

The previous prime is 7817284997. The next prime is 7817285009. The reversal of 7817285008 is 8005827187.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5854086144 + 1963198864 = 76512^2 + 44308^2 .

It is a super-2 number, since 2×7817285008² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7817285009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18053560 + ... + 18053992.

It is an arithmetic number, because the mean of its divisors is an integer number (109764459).

Almost surely, 2^7817285008 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 7817285008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781156720).

7817285008 is an abundant number, since it is smaller than the sum of its proper divisors (9745028432).

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

7817285008 is a wasteful number, since it uses less digits than its factorization.

7817285008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 46.

The square root of 7817285008 is about 88415.4115977526. The cubic root of 7817285008 is about 1984.6563377077.

The spelling of 7817285008 in words is "seven billion, eight hundred seventeen million, two hundred eighty-five thousand, eight".