8007280 has 40 divisors (see below), whose sum is σ = 18820224. Its totient is φ = 3168000.

The previous prime is 8007271. The next prime is 8007283. The reversal of 8007280 is 827008.

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 (8007283) 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, 7585 + ... + 8575.

Almost surely, 2^8007280 is an apocalyptic number.

8007280 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 8007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9410112).

8007280 is an abundant number, since it is smaller than the sum of its proper divisors (10812944).

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

8007280 is a wasteful number, since it uses less digits than its factorization.

8007280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 8007280 is about 2829.7137664435. The cubic root of 8007280 is about 200.0606482737.

The spelling of 8007280 in words is "eight million, seven thousand, two hundred eighty".