1300836672 has 280 divisors, whose sum is σ = 4160154240. Its totient is φ = 400619520.

The previous prime is 1300836637. The next prime is 1300836679. The reversal of 1300836672 is 2766380031.

It is a happy number.

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 (1300836679) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4629172 + ... + 4629452.

Almost surely, 2^1300836672 is an apocalyptic number.

1300836672 is a gapful number since it is divisible by the number (12) 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 1300836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080077120).

1300836672 is an abundant number, since it is smaller than the sum of its proper divisors (2859317568).

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

1300836672 is a wasteful number, since it uses less digits than its factorization.

1300836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1300836672 is about 36067.1134414719. The cubic root of 1300836672 is about 1091.6269707636.

The spelling of 1300836672 in words is "one billion, three hundred million, eight hundred thirty-six thousand, six hundred seventy-two".