798098400 has 288 divisors, whose sum is σ = 3149798400. Its totient is φ = 193420800.

The previous prime is 798098393. The next prime is 798098407. The reversal of 798098400 is 4890897.

It is an interprime number because it is at equal distance from previous prime (798098393) and next prime (798098407).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×798098400² = 1273922112165120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (798098407) 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 47 ways as a sum of consecutive naturals, for example, 235921 + ... + 239279.

It is an arithmetic number, because the mean of its divisors is an integer number (10936800).

Almost surely, 2^798098400 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 798098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

798098400 is an abundant number, since it is smaller than the sum of its proper divisors (2351700000).

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

798098400 is a wasteful number, since it uses less digits than its factorization.

798098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 798098400 is about 28250.6353910846. The cubic root of 798098400 is about 927.5816460507.

It can be divided in two parts, 79809 and 8400, that added together give a square (88209 = 297²).

The spelling of 798098400 in words is "seven hundred ninety-eight million, ninety-eight thousand, four hundred".