796152566160 has 640 divisors, whose sum is σ = 3303979008000. Its totient is φ = 172140484608.

The previous prime is 796152566159. The next prime is 796152566161. The reversal of 796152566160 is 61665251697.

796152566160 is a `hidden beast` number, since 7 + 9 + 6 + 15 + 2 + 5 + 6 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (796152566159) and next prime (796152566161).

It is a super-3 number, since 3×796152566160³ (a number of 37 digits) contains 333 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 = 796152566097 and 796152566106.

It is not an unprimeable number, because it can be changed into a prime (796152566161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 238153449 + ... + 238156791.

It is an arithmetic number, because the mean of its divisors is an integer number (5162467200).

Almost surely, 2^796152566160 is an apocalyptic number.

796152566160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796152566160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651989504000).

796152566160 is an abundant number, since it is smaller than the sum of its proper divisors (2507826441840).

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

796152566160 is a wasteful number, since it uses less digits than its factorization.

796152566160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 796152566160 in words is "seven hundred ninety-six billion, one hundred fifty-two million, five hundred sixty-six thousand, one hundred sixty".