798374400 has 240 divisors, whose sum is σ = 2794803264. Its totient is φ = 200212480.

The previous prime is 798374399. The next prime is 798374407. The reversal of 798374400 is 4473897.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (798374407) 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, 652189 + ... + 653411.

Almost surely, 2^798374400 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 798374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397401632).

798374400 is an abundant number, since it is smaller than the sum of its proper divisors (1996428864).

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

798374400 is a wasteful number, since it uses less digits than its factorization.

798374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 798374400 is about 28255.5198147194. The cubic root of 798374400 is about 927.6885597798.

The spelling of 798374400 in words is "seven hundred ninety-eight million, three hundred seventy-four thousand, four hundred".