7998681600 has 1080 divisors, whose sum is σ = 36188972820. Its totient is φ = 1672151040.

The previous prime is 7998681563. The next prime is 7998681601. The reversal of 7998681600 is 61868997.

It can be written as a sum of positive squares in 6 ways, for example, as 2181263616 + 5817417984 = 46704^2 + 76272^2 .

It is not an unprimeable number, because it can be changed into a prime (7998681601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 73382346 + ... + 73382454.

Almost surely, 2^7998681600 is an apocalyptic number.

7998681600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7998681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094486410).

7998681600 is an abundant number, since it is smaller than the sum of its proper divisors (28190291220).

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

7998681600 is a wasteful number, since it uses less digits than its factorization.

7998681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 7998681600 is about 89435.3487162654. The cubic root of 7998681600 is about 1999.8901272974.

The spelling of 7998681600 in words is "seven billion, nine hundred ninety-eight million, six hundred eighty-one thousand, six hundred".