8372880 has 120 divisors (see below), whose sum is σ = 29161080. Its totient is φ = 2150400.

The previous prime is 8372869. The next prime is 8372941. The reversal of 8372880 is 882738.

It can be written as a sum of positive squares in 4 ways, for example, as 3283344 + 5089536 = 1812^2 + 2256^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20680 + ... + 21080.

It is an arithmetic number, because the mean of its divisors is an integer number (243009).

Almost surely, 2^8372880 is an apocalyptic number.

8372880 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 8372880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580540).

8372880 is an abundant number, since it is smaller than the sum of its proper divisors (20788200).

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

8372880 is a wasteful number, since it uses less digits than its factorization.

8372880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8372880 is about 2893.5929223027. The cubic root of 8372880 is about 203.0602682887.

The spelling of 8372880 in words is "eight million, three hundred seventy-two thousand, eight hundred eighty".