1305722880 has 720 divisors, whose sum is σ = 5888623104. Its totient is φ = 259522560.

The previous prime is 1305722843. The next prime is 1305722897. The reversal of 1305722880 is 882275031.

1305722880 is a `hidden beast` number, since 1 + 3 + 0 + 572 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56770549 + ... + 56770571.

Almost surely, 2^1305722880 is an apocalyptic number.

1305722880 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 1305722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944311552).

1305722880 is an abundant number, since it is smaller than the sum of its proper divisors (4582900224).

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

1305722880 is a wasteful number, since it uses less digits than its factorization.

1305722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1305722880 is about 36134.7876706091. The cubic root of 1305722880 is about 1092.9920542332.

It can be divided in two parts, 13057 and 22880, that added together give a cube (35937 = 33³).

The spelling of 1305722880 in words is "one billion, three hundred five million, seven hundred twenty-two thousand, eight hundred eighty".