7824885120 has 640 divisors, whose sum is σ = 31910487840. Its totient is φ = 1810169856.

The previous prime is 7824885059. The next prime is 7824885149. The reversal of 7824885120 is 215884287.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×7824885120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 11456299 + ... + 11456981.

Almost surely, 2^7824885120 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 7824885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15955243920).

7824885120 is an abundant number, since it is smaller than the sum of its proper divisors (24085602720).

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

7824885120 is a wasteful number, since it uses less digits than its factorization.

7824885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 7824885120 is about 88458.3807222357. The cubic root of 7824885120 is about 1985.2993028326.

The spelling of 7824885120 in words is "seven billion, eight hundred twenty-four million, eight hundred eighty-five thousand, one hundred twenty".