1300055680 has 512 divisors, whose sum is σ = 4286545920. Its totient is φ = 364953600.

The previous prime is 1300055641. The next prime is 1300055681. The reversal of 1300055680 is 865500031.

It is a super-2 number, since 2×1300055680² = 3380289542200524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1300055681) 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, 35136622 + ... + 35136658.

It is an arithmetic number, because the mean of its divisors is an integer number (8372160).

Almost surely, 2^1300055680 is an apocalyptic number.

1300055680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1300055680 is the 29440-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143272960).

1300055680 is an abundant number, since it is smaller than the sum of its proper divisors (2986490240).

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

1300055680 is a wasteful number, since it uses less digits than its factorization.

1300055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1300055680 is about 36056.2848890453. The cubic root of 1300055680 is about 1091.4084645709.

The spelling of 1300055680 in words is "one billion, three hundred million, fifty-five thousand, six hundred eighty".