8005754880 has 560 divisors, whose sum is σ = 30448788480. Its totient is φ = 2006581248.

The previous prime is 8005754837. The next prime is 8005754909. The reversal of 8005754880 is 884575008.

It is a super-2 number, since 2×8005754880² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63037377 + ... + 63037503.

Almost surely, 2^8005754880 is an apocalyptic number.

8005754880 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 8005754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15224394240).

8005754880 is an abundant number, since it is smaller than the sum of its proper divisors (22443033600).

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

8005754880 is a wasteful number, since it uses less digits than its factorization.

8005754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 8005754880 is about 89474.8840736885. The cubic root of 8005754880 is about 2000.4794583840.

The spelling of 8005754880 in words is "eight billion, five million, seven hundred fifty-four thousand, eight hundred eighty".