7882280 has 32 divisors (see below), whose sum is σ = 20269440. Its totient is φ = 2702400.

The previous prime is 7882267. The next prime is 7882289. The reversal of 7882280 is 822887.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 7882280.

It is not an unprimeable number, because it can be changed into a prime (7882289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13796 + ... + 14355.

It is an arithmetic number, because the mean of its divisors is an integer number (633420).

Almost surely, 2^7882280 is an apocalyptic number.

7882280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7882280 is an abundant number, since it is smaller than the sum of its proper divisors (12387160).

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

7882280 is a wasteful number, since it uses less digits than its factorization.

7882280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28169 (or 28165 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 7882280 is about 2807.5398483370. The cubic root of 7882280 is about 199.0141484684.

The spelling of 7882280 in words is "seven million, eight hundred eighty-two thousand, two hundred eighty".