797129184 has 192 divisors, whose sum is σ = 2335931136. Its totient is φ = 236888064.

The previous prime is 797129161. The next prime is 797129189. The reversal of 797129184 is 481921797.

797129184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797129189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2596359 + ... + 2596665.

It is an arithmetic number, because the mean of its divisors is an integer number (12166308).

Almost surely, 2^797129184 is an apocalyptic number.

797129184 is a gapful number since it is divisible by the number (74) 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 797129184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167965568).

797129184 is an abundant number, since it is smaller than the sum of its proper divisors (1538801952).

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

797129184 is a wasteful number, since it uses less digits than its factorization.

797129184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its digits is 254016, while the sum is 48.

The square root of 797129184 is about 28233.4763003071. The cubic root of 797129184 is about 927.2060068452.

The spelling of 797129184 in words is "seven hundred ninety-seven million, one hundred twenty-nine thousand, one hundred eighty-four".