797834016 has 384 divisors, whose sum is σ = 2874009600. Its totient is φ = 210263040.

The previous prime is 797833999. The next prime is 797834041. The reversal of 797834016 is 610438797.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6090271 + ... + 6090401.

It is an arithmetic number, because the mean of its divisors is an integer number (7484400).

Almost surely, 2^797834016 is an apocalyptic number.

797834016 is a gapful number since it is divisible by the number (76) 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 797834016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437004800).

797834016 is an abundant number, since it is smaller than the sum of its proper divisors (2076175584).

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

797834016 is a wasteful number, since it uses less digits than its factorization.

797834016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 797834016 is about 28245.9557459117. The cubic root of 797834016 is about 927.4792088781.

The spelling of 797834016 in words is "seven hundred ninety-seven million, eight hundred thirty-four thousand, sixteen".