8021760 has 72 divisors (see below), whose sum is σ = 25631760. Its totient is φ = 2138112.

The previous prime is 8021759. The next prime is 8021771. The reversal of 8021760 is 671208.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8021760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2796 + ... + 4884.

Almost surely, 2^8021760 is an apocalyptic number.

8021760 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 8021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12815880).

8021760 is an abundant number, since it is smaller than the sum of its proper divisors (17610000).

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

8021760 is a wasteful number, since it uses less digits than its factorization.

8021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 8021760 is about 2832.2711734578. The cubic root of 8021760 is about 200.1811691724.

Adding to 8021760 its reverse (671208), we get a palindrome (8692968).

The spelling of 8021760 in words is "eight million, twenty-one thousand, seven hundred sixty".