7819752960 has 400 divisors, whose sum is σ = 28691909136. Its totient is φ = 2034450432.

The previous prime is 7819752947. The next prime is 7819753021. The reversal of 7819752960 is 692579187.

It is a super-2 number, since 2×7819752960² (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 = 7819752897 and 7819752906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8916042 + ... + 8916918.

Almost surely, 2^7819752960 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 7819752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14345954568).

7819752960 is an abundant number, since it is smaller than the sum of its proper divisors (20872156176).

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

7819752960 is an equidigital number, since it uses as much as digits as its factorization.

7819752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 7819752960 is about 88429.3670677338. The cubic root of 7819752960 is about 1984.8651707070.

The spelling of 7819752960 in words is "seven billion, eight hundred nineteen million, seven hundred fifty-two thousand, nine hundred sixty".