7828824960 has 320 divisors, whose sum is σ = 30502018800. Its totient is φ = 1897758720.

The previous prime is 7828824959. The next prime is 7828824967. The reversal of 7828824960 is 694288287.

7828824960 is a `hidden beast` number, since 78 + 2 + 8 + 82 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×7828824960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7828824897 and 7828824906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828824967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 563376 + ... + 577104.

Almost surely, 2^7828824960 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 7828824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251009400).

7828824960 is an abundant number, since it is smaller than the sum of its proper divisors (22673193840).

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

7828824960 is a wasteful number, since it uses less digits than its factorization.

7828824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13771 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 7828824960 is about 88480.6473755702. The cubic root of 7828824960 is about 1985.6324472003.

The spelling of 7828824960 in words is "seven billion, eight hundred twenty-eight million, eight hundred twenty-four thousand, nine hundred sixty".