797682816 has 320 divisors, whose sum is σ = 2813976000. Its totient is φ = 219469824.

The previous prime is 797682797. The next prime is 797682817. The reversal of 797682816 is 618286797.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2032128) is a multiple of the sum of its prime factors (441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797682817) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2104515 + ... + 2104893.

It is an arithmetic number, because the mean of its divisors is an integer number (8793675).

Almost surely, 2^797682816 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 797682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406988000).

797682816 is an abundant number, since it is smaller than the sum of its proper divisors (2016293184).

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

797682816 is a wasteful number, since it uses less digits than its factorization.

797682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 797682816 is about 28243.2791297328. The cubic root of 797682816 is about 927.4206153556.

The spelling of 797682816 in words is "seven hundred ninety-seven million, six hundred eighty-two thousand, eight hundred sixteen".