797345600 has 168 divisors, whose sum is σ = 2095365888. Its totient is φ = 297932800.

The previous prime is 797345587. The next prime is 797345609. The reversal of 797345600 is 6543797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797345609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1729370 + ... + 1729830.

It is an arithmetic number, because the mean of its divisors is an integer number (12472416).

Almost surely, 2^797345600 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 797345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047682944).

797345600 is an abundant number, since it is smaller than the sum of its proper divisors (1298020288).

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

797345600 is a wasteful number, since it uses less digits than its factorization.

797345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The square root of 797345600 is about 28237.3086536235. The cubic root of 797345600 is about 927.2899096230.

The spelling of 797345600 in words is "seven hundred ninety-seven million, three hundred forty-five thousand, six hundred".