8071899600 has 240 divisors, whose sum is σ = 26619546240. Its totient is φ = 2089574400.

The previous prime is 8071899581. The next prime is 8071899601. The reversal of 8071899600 is 69981708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8071899600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8071899601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17662572 + ... + 17663028.

It is an arithmetic number, because the mean of its divisors is an integer number (110914776).

Almost surely, 2^8071899600 is an apocalyptic number.

8071899600 is a gapful number since it is divisible by the number (80) 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 8071899600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309773120).

8071899600 is an abundant number, since it is smaller than the sum of its proper divisors (18547646640).

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

8071899600 is a wasteful number, since it uses less digits than its factorization.

8071899600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 8071899600 is about 89843.7510347826. The cubic root of 8071899600 is about 2005.9737725889.

The spelling of 8071899600 in words is "eight billion, seventy-one million, eight hundred ninety-nine thousand, six hundred".