8019280 has 40 divisors (see below), whose sum is σ = 18972000. Its totient is φ = 3151488.

The previous prime is 8019259. The next prime is 8019289. The reversal of 8019280 is 829108.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8019289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3871 + ... + 5569.

It is an arithmetic number, because the mean of its divisors is an integer number (474300).

Almost surely, 2^8019280 is an apocalyptic number.

8019280 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 8019280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486000).

8019280 is an abundant number, since it is smaller than the sum of its proper divisors (10952720).

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

8019280 is a wasteful number, since it uses less digits than its factorization.

8019280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 8019280 is about 2831.8333284288. The cubic root of 8019280 is about 200.1605377703.

The spelling of 8019280 in words is "eight million, nineteen thousand, two hundred eighty".