798336000 has 880 divisors, whose sum is σ = 3709360512. Its totient is φ = 165888000.

The previous prime is 798335981. The next prime is 798336023. The reversal of 798336000 is 633897.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72575995 + ... + 72576005.

Almost surely, 2^798336000 is an apocalyptic number.

798336000 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 798336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854680256).

798336000 is an abundant number, since it is smaller than the sum of its proper divisors (2911024512).

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

798336000 is a wasteful number, since it uses less digits than its factorization.

798336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 798336000 is about 28254.8402933020. The cubic root of 798336000 is about 927.6736863019.

Adding to 798336000 its reverse (633897), we get a palindrome (798969897).

The spelling of 798336000 in words is "seven hundred ninety-eight million, three hundred thirty-six thousand".