797708160 has 384 divisors, whose sum is σ = 2993047200. Its totient is φ = 195084288.

The previous prime is 797708147. The next prime is 797708167. The reversal of 797708160 is 61807797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797708167) 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 47 ways as a sum of consecutive naturals, for example, 4049182 + ... + 4049378.

Almost surely, 2^797708160 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 797708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496523600).

797708160 is an abundant number, since it is smaller than the sum of its proper divisors (2195339040).

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

797708160 is a wasteful number, since it uses less digits than its factorization.

797708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 797708160 is about 28243.7277992832. The cubic root of 797708160 is about 927.4304372625.

The spelling of 797708160 in words is "seven hundred ninety-seven million, seven hundred eight thousand, one hundred sixty".