8058720 has 96 divisors (see below), whose sum is σ = 25788672. Its totient is φ = 2115072.

The previous prime is 8058707. The next prime is 8058733. The reversal of 8058720 is 278508.

It is an interprime number because it is at equal distance from previous prime (8058707) and next prime (8058733).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49359 + ... + 49521.

It is an arithmetic number, because the mean of its divisors is an integer number (268632).

Almost surely, 2^8058720 is an apocalyptic number.

8058720 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 8058720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894336).

8058720 is an abundant number, since it is smaller than the sum of its proper divisors (17729952).

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

8058720 is a wasteful number, since it uses less digits than its factorization.

8058720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

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

The square root of 8058720 is about 2838.7884739797. The cubic root of 8058720 is about 200.4881409561.

It can be divided in two parts, 8058 and 720, that added together give a palindrome (8778).

The spelling of 8058720 in words is "eight million, fifty-eight thousand, seven hundred twenty".