797644800 has 288 divisors, whose sum is σ = 2934968400. Its totient is φ = 212336640.

The previous prime is 797644781. The next prime is 797644831. The reversal of 797644800 is 8446797.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382112 + ... + 1382688.

Almost surely, 2^797644800 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 797644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467484200).

797644800 is an abundant number, since it is smaller than the sum of its proper divisors (2137323600).

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

797644800 is a wasteful number, since it uses less digits than its factorization.

797644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 797644800 is about 28242.6061120428. The cubic root of 797644800 is about 927.4058821051.

The spelling of 797644800 in words is "seven hundred ninety-seven million, six hundred forty-four thousand, eight hundred".