797829144 has 128 divisors (see below), whose sum is σ = 2365440000. Its totient is φ = 219438720.

The previous prime is 797829139. The next prime is 797829157. The reversal of 797829144 is 441928797.

797829144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×797829144³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1598607 + ... + 1599105.

It is an arithmetic number, because the mean of its divisors is an integer number (18480000).

Almost surely, 2^797829144 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 797829144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182720000).

797829144 is an abundant number, since it is smaller than the sum of its proper divisors (1567610856).

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

797829144 is a wasteful number, since it uses less digits than its factorization.

797829144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 797829144 is about 28245.8695033451. The cubic root of 797829144 is about 927.4773209800.

The spelling of 797829144 in words is "seven hundred ninety-seven million, eight hundred twenty-nine thousand, one hundred forty-four".