1303807680 has 252 divisors, whose sum is σ = 5217292080. Its totient is φ = 297980928.

The previous prime is 1303807669. The next prime is 1303807697. The reversal of 1303807680 is 867083031.

1303807680 is a `hidden beast` number, since 130 + 380 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136501 + ... + 145739.

It is an arithmetic number, because the mean of its divisors is an integer number (20703540).

Almost surely, 2^1303807680 is an apocalyptic number.

1303807680 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 1303807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608646040).

1303807680 is an abundant number, since it is smaller than the sum of its proper divisors (3913484400).

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

1303807680 is a wasteful number, since it uses less digits than its factorization.

1303807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9276 (or 9256 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1303807680 is about 36108.2771674307. The cubic root of 1303807680 is about 1092.4574020713.

The spelling of 1303807680 in words is "one billion, three hundred three million, eight hundred seven thousand, six hundred eighty".