797817600 has 486 divisors, whose sum is σ = 3117825620. Its totient is φ = 201553920.

The previous prime is 797817593. The next prime is 797817607. The reversal of 797817600 is 6718797.

It is a happy number.

797817600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (797817593) and next prime (797817607).

It is a tau number, because it is divible by the number of its divisors (486).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (797817607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41990391 + ... + 41990409.

Almost surely, 2^797817600 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 797817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558912810).

797817600 is an abundant number, since it is smaller than the sum of its proper divisors (2320008020).

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

797817600 is an frugal number, since it uses more digits than its factorization.

797817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 797817600 is about 28245.6651541436. The cubic root of 797817600 is about 927.4728476539.

The spelling of 797817600 in words is "seven hundred ninety-seven million, eight hundred seventeen thousand, six hundred".