1300388880 has 160 divisors (see below), whose sum is σ = 4849689600. Its totient is φ = 281581056.

The previous prime is 1300388849. The next prime is 1300388891. The reversal of 1300388880 is 888830031.

It is a super-2 number, since 2×1300388880² = 3382022478455308800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 11551 + ... + 52289.

It is an arithmetic number, because the mean of its divisors is an integer number (30310560).

Almost surely, 2^1300388880 is an apocalyptic number.

1300388880 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 1300388880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424844800).

1300388880 is an abundant number, since it is smaller than the sum of its proper divisors (3549300720).

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

1300388880 is a wasteful number, since it uses less digits than its factorization.

1300388880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40781 (or 40775 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1300388880 is about 36060.9051467098. The cubic root of 1300388880 is about 1091.5016980742.

The spelling of 1300388880 in words is "one billion, three hundred million, three hundred eighty-eight thousand, eight hundred eighty".