8105834880 has 576 divisors, whose sum is σ = 33108257520. Its totient is φ = 1811496960.

The previous prime is 8105834843. The next prime is 8105834899. The reversal of 8105834880 is 884385018.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8105834880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10707462 + ... + 10708218.

Almost surely, 2^8105834880 is an apocalyptic number.

8105834880 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 8105834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16554128760).

8105834880 is an abundant number, since it is smaller than the sum of its proper divisors (25002422640).

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

8105834880 is a wasteful number, since it uses less digits than its factorization.

8105834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 8105834880 is about 90032.4101643403. The cubic root of 8105834880 is about 2008.7809642452.

The spelling of 8105834880 in words is "eight billion, one hundred five million, eight hundred thirty-four thousand, eight hundred eighty".