797996160 has 192 divisors, whose sum is σ = 2967826680. Its totient is φ = 196411392.

The previous prime is 797996153. The next prime is 797996183. The reversal of 797996160 is 61699797.

It can be written as a sum of positive squares in 4 ways, for example, as 281434176 + 516561984 = 16776^2 + 22728^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 797996097 and 797996106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69552 + ... + 80208.

Almost surely, 2^797996160 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 797996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483913340).

797996160 is an abundant number, since it is smaller than the sum of its proper divisors (2169830520).

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

797996160 is a wasteful number, since it uses less digits than its factorization.

797996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10695 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 797996160 is about 28248.8258163061. The cubic root of 797996160 is about 927.5420352301.

The spelling of 797996160 in words is "seven hundred ninety-seven million, nine hundred ninety-six thousand, one hundred sixty".