793984800 has 288 divisors, whose sum is σ = 2981809152. Its totient is φ = 179758080.

The previous prime is 793984781. The next prime is 793984801. The reversal of 793984800 is 8489397.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 793984800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793984801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2805459 + ... + 2805741.

It is an arithmetic number, because the mean of its divisors is an integer number (10353504).

Almost surely, 2^793984800 is an apocalyptic number.

793984800 is a gapful number since it is divisible by the number (70) 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 793984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490904576).

793984800 is an abundant number, since it is smaller than the sum of its proper divisors (2187824352).

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

793984800 is a wasteful number, since it uses less digits than its factorization.

793984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 793984800 is about 28177.7358920123. The cubic root of 793984800 is about 925.9852370580.

The spelling of 793984800 in words is "seven hundred ninety-three million, nine hundred eighty-four thousand, eight hundred".