798133440 has 224 divisors, whose sum is σ = 2818400256. Its totient is φ = 190033920.

The previous prime is 798133433. The next prime is 798133451. The reversal of 798133440 is 44331897.

It is a super-3 number, since 3×798133440³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 385849 + ... + 387911.

It is an arithmetic number, because the mean of its divisors is an integer number (12582144).

Almost surely, 2^798133440 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 798133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409200128).

798133440 is an abundant number, since it is smaller than the sum of its proper divisors (2020266816).

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

798133440 is a wasteful number, since it uses less digits than its factorization.

798133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 798133440 is about 28251.2555473204. The cubic root of 798133440 is about 927.5952208117.

The spelling of 798133440 in words is "seven hundred ninety-eight million, one hundred thirty-three thousand, four hundred forty".