7828560 has 120 divisors (see below), whose sum is σ = 26810784. Its totient is φ = 2046720.

The previous prime is 7828559. The next prime is 7828573. The reversal of 7828560 is 658287.

7828560 is a `hidden beast` number, since 78 + 28 + 560 = 666.

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

It is a super-2 number, since 2×7828560² = 122572703347200, which contains 22 as substring.

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, 59695 + ... + 59825.

Almost surely, 2^7828560 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 7828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392).

7828560 is an abundant number, since it is smaller than the sum of its proper divisors (18982224).

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

7828560 is a wasteful number, since it uses less digits than its factorization.

7828560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7828560 is about 2797.9563970870. The cubic root of 7828560 is about 198.5610046261.

The spelling of 7828560 in words is "seven million, eight hundred twenty-eight thousand, five hundred sixty".