1798312320 has 256 divisors, whose sum is σ = 7279372800. Its totient is φ = 411015168.

The previous prime is 1798312319. The next prime is 1798312349. The reversal of 1798312320 is 232138971.

1798312320 is a `hidden beast` number, since 17 + 9 + 8 + 312 + 320 = 666.

It is a super-3 number, since 3×1798312320³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113527 + ... + 128393.

It is an arithmetic number, because the mean of its divisors is an integer number (28435050).

Almost surely, 2^1798312320 is an apocalyptic number.

1798312320 is a gapful number since it is divisible by the number (10) 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 1798312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639686400).

1798312320 is an abundant number, since it is smaller than the sum of its proper divisors (5481060480).

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

1798312320 is a wasteful number, since it uses less digits than its factorization.

1798312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14902 (or 14884 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1798312320 is about 42406.5127073661. The cubic root of 1798312320 is about 1216.0601020617.

It can be divided in two parts, 17983 and 12320, that added together give a palindrome (30303).

The spelling of 1798312320 in words is "one billion, seven hundred ninety-eight million, three hundred twelve thousand, three hundred twenty".