8723280 has 80 divisors (see below), whose sum is σ = 28480320. Its totient is φ = 2202624.

The previous prime is 8723243. The next prime is 8723303. The reversal of 8723280 is 823278.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8723280² = 152191227916800, which contains 22 as substring.

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, 3604 + ... + 5516.

It is an arithmetic number, because the mean of its divisors is an integer number (356004).

Almost surely, 2^8723280 is an apocalyptic number.

8723280 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 8723280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14240160).

8723280 is an abundant number, since it is smaller than the sum of its proper divisors (19757040).

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

8723280 is a wasteful number, since it uses less digits than its factorization.

8723280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 8723280 is about 2953.5199339094. The cubic root of 8723280 is about 205.8542973215.

The spelling of 8723280 in words is "eight million, seven hundred twenty-three thousand, two hundred eighty".