1303345680 has 320 divisors, whose sum is σ = 5039677440. Its totient is φ = 271300608.

The previous prime is 1303345661. The next prime is 1303345699. The reversal of 1303345680 is 865433031.

1303345680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1303345661) and next prime (1303345699).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1812361 + ... + 1813079.

It is an arithmetic number, because the mean of its divisors is an integer number (15748992).

Almost surely, 2^1303345680 is an apocalyptic number.

1303345680 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 1303345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519838720).

1303345680 is an abundant number, since it is smaller than the sum of its proper divisors (3736331760).

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

1303345680 is a wasteful number, since it uses less digits than its factorization.

1303345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1303345680 is about 36101.8791754668. The cubic root of 1303345680 is about 1092.3283505877.

The spelling of 1303345680 in words is "one billion, three hundred three million, three hundred forty-five thousand, six hundred eighty".