8000720 has 120 divisors (see below), whose sum is σ = 23451624. Its totient is φ = 2515968.

The previous prime is 8000719. The next prime is 8000747. The reversal of 8000720 is 270008.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 7997584 = 56^2 + 2828^2 .

8000720 is a modest number, since divided by 720 gives 80 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50882 + ... + 51038.

Almost surely, 2^8000720 is an apocalyptic number.

8000720 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 8000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725812).

8000720 is an abundant number, since it is smaller than the sum of its proper divisors (15450904).

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

8000720 is a wasteful number, since it uses less digits than its factorization.

8000720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 8000720 is about 2828.5544011032. The cubic root of 8000720 is about 200.0059998200.

Adding to 8000720 its reverse (270008), we get a palindrome (8270728).

It can be divided in two parts, 8000 and 720, that multiplied together give a square (5760000 = 2400²).

The spelling of 8000720 in words is "eight million, seven hundred twenty", and thus it is an aban number.