8075999100 has 288 divisors, whose sum is σ = 26389866496. Its totient is φ = 1893196800.

The previous prime is 8075999059. The next prime is 8075999101. The reversal of 8075999100 is 19995708.

It is a super-2 number, since 2×8075999100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8075999100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8075999101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8099802 + ... + 8100798.

Almost surely, 2^8075999100 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 8075999100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194933248).

8075999100 is an abundant number, since it is smaller than the sum of its proper divisors (18313867396).

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

8075999100 is a wasteful number, since it uses less digits than its factorization.

8075999100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 48.

The square root of 8075999100 is about 89866.5627472198. The cubic root of 8075999100 is about 2006.3133084321.

The spelling of 8075999100 in words is "eight billion, seventy-five million, nine hundred ninety-nine thousand, one hundred".