796340160 has 1008 divisors, whose sum is σ = 3794394240. Its totient is φ = 156764160.

The previous prime is 796340143. The next prime is 796340161. The reversal of 796340160 is 61043697.

796340160 is a `hidden beast` number, since 7 + 9 + 634 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796340161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41912631 + ... + 41912649.

It is an arithmetic number, because the mean of its divisors is an integer number (3764280).

Almost surely, 2^796340160 is an apocalyptic number.

796340160 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 796340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897197120).

796340160 is an abundant number, since it is smaller than the sum of its proper divisors (2998054080).

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

796340160 is a wasteful number, since it uses less digits than its factorization.

796340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 796340160 is about 28219.4996412055. The cubic root of 796340160 is about 926.8999797826.

The spelling of 796340160 in words is "seven hundred ninety-six million, three hundred forty thousand, one hundred sixty".