8012880 has 120 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 2062080.

The previous prime is 8012863. The next prime is 8012881. The reversal of 8012880 is 882108.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8012881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22141 + ... + 22499.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 2^8012880 is an apocalyptic number.

8012880 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 8012880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

8012880 is an abundant number, since it is smaller than the sum of its proper divisors (19842480).

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

8012880 is a wasteful number, since it uses less digits than its factorization.

8012880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8012880 is about 2830.7030928729. The cubic root of 8012880 is about 200.1072757826.

Adding to 8012880 its reverse (882108), we get a palindrome (8894988).

It can be divided in two parts, 80128 and 80, that added together give a palindrome (80208).

The spelling of 8012880 in words is "eight million, twelve thousand, eight hundred eighty".