8088100 has 36 divisors (see below), whose sum is σ = 18162900. Its totient is φ = 3122560.

The previous prime is 8088083. The next prime is 8088109. The reversal of 8088100 is 18808.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33856 + 8054244 = 184^2 + 2838^2 .

It is a super-2 number, since 2×8088100² = 130834723220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8088109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1506 + ... + 4294.

It is an arithmetic number, because the mean of its divisors is an integer number (504525).

Almost surely, 2^8088100 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 8088100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081450).

8088100 is an abundant number, since it is smaller than the sum of its proper divisors (10074800).

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

8088100 is a wasteful number, since it uses less digits than its factorization.

8088100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 8088100 is about 2843.9585088394. The cubic root of 8088100 is about 200.7314880313.

The spelling of 8088100 in words is "eight million, eighty-eight thousand, one hundred".