8012417280 has 432 divisors, whose sum is σ = 30142949760. Its totient is φ = 1808400384.

The previous prime is 8012417269. The next prime is 8012417353. The reversal of 8012417280 is 827142108.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18251301 + ... + 18251739.

Almost surely, 2^8012417280 is an apocalyptic number.

8012417280 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 8012417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15071474880).

8012417280 is an abundant number, since it is smaller than the sum of its proper divisors (22130532480).

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

8012417280 is a wasteful number, since it uses less digits than its factorization.

8012417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 8012417280 is about 89512.1068906324. The cubic root of 8012417280 is about 2001.0342384166.

Adding to 8012417280 its reverse (827142108), we get a palindrome (8839559388).

The spelling of 8012417280 in words is "eight billion, twelve million, four hundred seventeen thousand, two hundred eighty".