8417882880 has 720 divisors, whose sum is σ = 33673657248. Its totient is φ = 2007244800.

The previous prime is 8417882857. The next prime is 8417882909. The reversal of 8417882880 is 882887148.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137998050 + ... + 137998110.

Almost surely, 2^8417882880 is an apocalyptic number.

8417882880 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 8417882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16836828624).

8417882880 is an abundant number, since it is smaller than the sum of its proper divisors (25255774368).

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

8417882880 is an equidigital number, since it uses as much as digits as its factorization.

8417882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The square root of 8417882880 is about 91749.0211391925. The cubic root of 8417882880 is about 2034.2342383016.

The spelling of 8417882880 in words is "eight billion, four hundred seventeen million, eight hundred eighty-two thousand, eight hundred eighty".