798144480 has 144 divisors (see below), whose sum is σ = 3112802784. Its totient is φ = 182430720.

The previous prime is 798144443. The next prime is 798144481. The reversal of 798144480 is 84441897.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×798144480² = 1274069221908940800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (798144481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29511 + ... + 49670.

It is an arithmetic number, because the mean of its divisors is an integer number (21616686).

Almost surely, 2^798144480 is an apocalyptic number.

798144480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

798144480 is an abundant number, since it is smaller than the sum of its proper divisors (2314658304).

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

798144480 is a wasteful number, since it uses less digits than its factorization.

798144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79209 (or 79198 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 798144480 is about 28251.4509361909. The cubic root of 798144480 is about 927.5994977089.

The spelling of 798144480 in words is "seven hundred ninety-eight million, one hundred forty-four thousand, four hundred eighty".