797312160 has 144 divisors (see below), whose sum is σ = 2821736736. Its totient is φ = 212606208.

The previous prime is 797312147. The next prime is 797312203. The reversal of 797312160 is 61213797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28627 + ... + 49133.

It is an arithmetic number, because the mean of its divisors is an integer number (19595394).

Almost surely, 2^797312160 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 797312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410868368).

797312160 is an abundant number, since it is smaller than the sum of its proper divisors (2024424576).

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

797312160 is a wasteful number, since it uses less digits than its factorization.

797312160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20537 (or 20517 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 797312160 is about 28236.7165229954. The cubic root of 797312160 is about 927.2769461903.

The spelling of 797312160 in words is "seven hundred ninety-seven million, three hundred twelve thousand, one hundred sixty".