8057280 has 224 divisors, whose sum is σ = 32186880. Its totient is φ = 1658880.

The previous prime is 8057267. The next prime is 8057281. The reversal of 8057280 is 827508.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8057281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73866 + ... + 73974.

Almost surely, 2^8057280 is an apocalyptic number.

8057280 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 8057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093440).

8057280 is an abundant number, since it is smaller than the sum of its proper divisors (24129600).

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

8057280 is a wasteful number, since it uses less digits than its factorization.

8057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 8057280 is about 2838.5348333251. The cubic root of 8057280 is about 200.4761986079.

The spelling of 8057280 in words is "eight million, fifty-seven thousand, two hundred eighty".