7824960 has 336 divisors, whose sum is σ = 33284160. Its totient is φ = 1658880.

The previous prime is 7824953. The next prime is 7824961. The reversal of 7824960 is 694287.

It is a super-2 number, since 2×7824960² = 122459998003200, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7824961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411831 + ... + 411849.

It is an arithmetic number, because the mean of its divisors is an integer number (99060).

Almost surely, 2^7824960 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 7824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

7824960 is an abundant number, since it is smaller than the sum of its proper divisors (25459200).

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

7824960 is a wasteful number, since it uses less digits than its factorization.

7824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7824960 is about 2797.3129964307. The cubic root of 7824960 is about 198.5305635566.

The spelling of 7824960 in words is "seven million, eight hundred twenty-four thousand, nine hundred sixty".