8612081280 has 768 divisors, whose sum is σ = 34656336000. Its totient is φ = 1950842880.

The previous prime is 8612081279. The next prime is 8612081281. The reversal of 8612081280 is 821802168.

It is an interprime number because it is at equal distance from previous prime (8612081279) and next prime (8612081281).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8612081281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79009866 + ... + 79009974.

Almost surely, 2^8612081280 is an apocalyptic number.

8612081280 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 8612081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17328168000).

8612081280 is an abundant number, since it is smaller than the sum of its proper divisors (26044254720).

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

8612081280 is a wasteful number, since it uses less digits than its factorization.

8612081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8612081280 is about 92801.2999908945. The cubic root of 8612081280 is about 2049.7585501869.

The spelling of 8612081280 in words is "eight billion, six hundred twelve million, eighty-one thousand, two hundred eighty".