793800000 has 630 divisors, whose sum is σ = 3421339614. Its totient is φ = 181440000.

The previous prime is 793799999. The next prime is 793800037. The reversal of 793800000 is 8397.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 366799104 + 427000896 = 19152^2 + 20664^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 113399997 + ... + 113400003.

Almost surely, 2^793800000 is an apocalyptic number.

793800000 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 793800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710669807).

793800000 is an abundant number, since it is smaller than the sum of its proper divisors (2627539614).

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

793800000 is an frugal number, since it uses more digits than its factorization.

793800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 793800000 is about 28174.4565164974. The cubic root of 793800000 is about 925.9133904476.

Adding to 793800000 its reverse (8397), we get a palindrome (793808397).

The spelling of 793800000 in words is "seven hundred ninety-three million, eight hundred thousand".