8090009600 has 90 divisors (see below), whose sum is σ = 20063627304. Its totient is φ = 3235840000.

The previous prime is 8090009591. The next prime is 8090009611. The reversal of 8090009600 is 69000908.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 399725 + ... + 419475.

Almost surely, 2^8090009600 is an apocalyptic number.

8090009600 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 8090009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10031813652).

8090009600 is an abundant number, since it is smaller than the sum of its proper divisors (11973617704).

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

8090009600 is an equidigital number, since it uses as much as digits as its factorization.

8090009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19789 (or 19758 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 8090009600 is about 89944.4806533453. The cubic root of 8090009600 is about 2007.4728435291.

The spelling of 8090009600 in words is "eight billion, ninety million, nine thousand, six hundred".