8718720 has 128 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 2193408.

The previous prime is 8718709. The next prime is 8718727. The reversal of 8718720 is 278178.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8718727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36361 + ... + 36599.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

Almost surely, 2^8718720 is an apocalyptic number.

8718720 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 8718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

8718720 is an abundant number, since it is smaller than the sum of its proper divisors (20657280).

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

8718720 is a wasteful number, since it uses less digits than its factorization.

8718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 8718720 is about 2952.7478727450. The cubic root of 8718720 is about 205.8184217025.

It can be divided in two parts, 871 and 8720, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 8718720 in words is "eight million, seven hundred eighteen thousand, seven hundred twenty".