7869280 has 48 divisors (see below), whose sum is σ = 18779040. Its totient is φ = 3116032.

The previous prime is 7869259. The next prime is 7869307. The reversal of 7869280 is 829687.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21741 + ... + 22099.

It is an arithmetic number, because the mean of its divisors is an integer number (391230).

Almost surely, 2^7869280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7869280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389520).

7869280 is an abundant number, since it is smaller than the sum of its proper divisors (10909760).

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

7869280 is a wasteful number, since it uses less digits than its factorization.

7869280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 7869280 is about 2805.2236987449. The cubic root of 7869280 is about 198.9046789767.

The spelling of 7869280 in words is "seven million, eight hundred sixty-nine thousand, two hundred eighty".