7823796480 has 360 divisors, whose sum is σ = 28491724800. Its totient is φ = 2049380352.

The previous prime is 7823796469. The next prime is 7823796511. The reversal of 7823796480 is 846973287.

7823796480 is a `hidden beast` number, since 78 + 2 + 3 + 7 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×7823796480² (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 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 39 ways as a sum of consecutive naturals, for example, 6116481 + ... + 6117759.

It is an arithmetic number, because the mean of its divisors is an integer number (79143680).

Almost surely, 2^7823796480 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 7823796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14245862400).

7823796480 is an abundant number, since it is smaller than the sum of its proper divisors (20667928320).

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

7823796480 is a wasteful number, since it uses less digits than its factorization.

7823796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7823796480 is about 88452.2271059356. The cubic root of 7823796480 is about 1985.2072300658.

The spelling of 7823796480 in words is "seven billion, eight hundred twenty-three million, seven hundred ninety-six thousand, four hundred eighty".