1300879440 has 600 divisors, whose sum is σ = 5588059752. Its totient is φ = 278691840.

The previous prime is 1300879421. The next prime is 1300879451. The reversal of 1300879440 is 449780031.

It is a happy number.

1300879440 is a `hidden beast` number, since 130 + 0 + 87 + 9 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 416649744 + 884229696 = 20412^2 + 29736^2 .

It is a super-3 number, since 3×1300879440³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1300879395 and 1300879404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5397720 + ... + 5397960.

Almost surely, 2^1300879440 is an apocalyptic number.

1300879440 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 1300879440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794029876).

1300879440 is an abundant number, since it is smaller than the sum of its proper divisors (4287180312).

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

1300879440 is a wasteful number, since it uses less digits than its factorization.

1300879440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

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

The square root of 1300879440 is about 36067.7063312875. The cubic root of 1300879440 is about 1091.6389338823.

The spelling of 1300879440 in words is "one billion, three hundred million, eight hundred seventy-nine thousand, four hundred forty".