798517440 has 448 divisors, whose sum is σ = 3279160320. Its totient is φ = 181398528.

The previous prime is 798517409. The next prime is 798517459. The reversal of 798517440 is 44715897.

It is a happy number.

798517440 is a `hidden beast` number, since 7 + 98 + 517 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 4898799 + ... + 4898961.

Almost surely, 2^798517440 is an apocalyptic number.

798517440 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 798517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639580160).

798517440 is an abundant number, since it is smaller than the sum of its proper divisors (2480642880).

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

798517440 is an equidigital number, since it uses as much as digits as its factorization.

798517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 798517440 is about 28258.0508881982. The cubic root of 798517440 is about 927.7439592880.

It can be divided in two parts, 7985 and 17440, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 798517440 in words is "seven hundred ninety-eight million, five hundred seventeen thousand, four hundred forty".