8332080 has 80 divisors (see below), whose sum is σ = 26114400. Its totient is φ = 2197504.

The previous prime is 8332073. The next prime is 8332081. The reversal of 8332080 is 802338.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8332080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8332081) 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, 35644 + ... + 35876.

It is an arithmetic number, because the mean of its divisors is an integer number (326430).

Almost surely, 2^8332080 is an apocalyptic number.

8332080 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 8332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057200).

8332080 is an abundant number, since it is smaller than the sum of its proper divisors (17782320).

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

8332080 is a wasteful number, since it uses less digits than its factorization.

8332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 8332080 is about 2886.5342540840. The cubic root of 8332080 is about 202.7299019742.

The spelling of 8332080 in words is "eight million, three hundred thirty-two thousand, eighty".