796810560 has 336 divisors, whose sum is σ = 3171724416. Its totient is φ = 167989248.

The previous prime is 796810559. The next prime is 796810561. The reversal of 796810560 is 65018697.

It is an interprime number because it is at equal distance from previous prime (796810559) and next prime (796810561).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796810561) 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 47 ways as a sum of consecutive naturals, for example, 610869 + ... + 612171.

It is an arithmetic number, because the mean of its divisors is an integer number (9439656).

Almost surely, 2^796810560 is an apocalyptic number.

796810560 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 796810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585862208).

796810560 is an abundant number, since it is smaller than the sum of its proper divisors (2374913856).

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

796810560 is a wasteful number, since it uses less digits than its factorization.

796810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 796810560 is about 28227.8330730504. The cubic root of 796810560 is about 927.0824511891.

It can be divided in two parts, 7968 and 10560, that added together give a triangular number (18528 = T₁₉₂).

The spelling of 796810560 in words is "seven hundred ninety-six million, eight hundred ten thousand, five hundred sixty".