1303850080 has 192 divisors, whose sum is σ = 3483744768. Its totient is φ = 457850880.

The previous prime is 1303850057. The next prime is 1303850081. The reversal of 1303850080 is 800583031.

It is a super-3 number, since 3×1303850080³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303850081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4706902 + ... + 4707178.

It is an arithmetic number, because the mean of its divisors is an integer number (18144504).

Almost surely, 2^1303850080 is an apocalyptic number.

1303850080 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 1303850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741872384).

1303850080 is an abundant number, since it is smaller than the sum of its proper divisors (2179894688).

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

1303850080 is a wasteful number, since it uses less digits than its factorization.

1303850080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1303850080 is about 36108.8642856571. The cubic root of 1303850080 is about 1092.4692442298.

The spelling of 1303850080 in words is "one billion, three hundred three million, eight hundred fifty thousand, eighty".