797106960 has 160 divisors (see below), whose sum is σ = 2956894080. Its totient is φ = 196204032.

The previous prime is 797106941. The next prime is 797106967. The reversal of 797106960 is 69601797.

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

It is not an unprimeable number, because it can be changed into a prime (797106967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13887 + ... + 42273.

It is an arithmetic number, because the mean of its divisors is an integer number (18480588).

Almost surely, 2^797106960 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 797106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478447040).

797106960 is an abundant number, since it is smaller than the sum of its proper divisors (2159787120).

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

797106960 is a wasteful number, since it uses less digits than its factorization.

797106960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28422 (or 28410 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 797106960 is about 28233.0827222250. The cubic root of 797106960 is about 927.1973899158.

The spelling of 797106960 in words is "seven hundred ninety-seven million, one hundred six thousand, nine hundred sixty".