1303706880 has 576 divisors, whose sum is σ = 5615930880. Its totient is φ = 279576576.

The previous prime is 1303706867. The next prime is 1303706881. The reversal of 1303706880 is 886073031.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303706881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4112482 + ... + 4112798.

It is an arithmetic number, because the mean of its divisors is an integer number (9749880).

Almost surely, 2^1303706880 is an apocalyptic number.

1303706880 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 1303706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807965440).

1303706880 is an abundant number, since it is smaller than the sum of its proper divisors (4312224000).

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

1303706880 is a wasteful number, since it uses less digits than its factorization.

1303706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 351 counting only the distinct ones).

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

The square root of 1303706880 is about 36106.8813386036. The cubic root of 1303706880 is about 1092.4292479844.

The spelling of 1303706880 in words is "one billion, three hundred three million, seven hundred six thousand, eight hundred eighty".