8083801600 has 240 divisors, whose sum is σ = 23186515968. Its totient is φ = 2735677440.

The previous prime is 8083801589. The next prime is 8083801601. The reversal of 8083801600 is 61083808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8083801601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7436257 + ... + 7437343.

Almost surely, 2^8083801600 is an apocalyptic number.

8083801600 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 8083801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11593257984).

8083801600 is an abundant number, since it is smaller than the sum of its proper divisors (15102714368).

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

8083801600 is a wasteful number, since it uses less digits than its factorization.

8083801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 8083801600 is about 89909.9638527344. The cubic root of 8083801600 is about 2006.9592231863.

The spelling of 8083801600 in words is "eight billion, eighty-three million, eight hundred one thousand, six hundred".