794830400 has 336 divisors, whose sum is σ = 2476341504. Its totient is φ = 244408320.

The previous prime is 794830397. The next prime is 794830423. The reversal of 794830400 is 4038497.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 47 ways as a sum of consecutive naturals, for example, 7716749 + ... + 7716851.

It is an arithmetic number, because the mean of its divisors is an integer number (7370064).

Almost surely, 2^794830400 is an apocalyptic number.

794830400 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 794830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238170752).

794830400 is an abundant number, since it is smaller than the sum of its proper divisors (1681511104).

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

794830400 is a wasteful number, since it uses less digits than its factorization.

794830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 794830400 is about 28192.7366532588. The cubic root of 794830400 is about 926.3138475927.

Adding to 794830400 its reverse (4038497), we get a palindrome (798868897).

The spelling of 794830400 in words is "seven hundred ninety-four million, eight hundred thirty thousand, four hundred".