1300787840 has 128 divisors (see below), whose sum is σ = 3472096320. Its totient is φ = 461905920.

The previous prime is 1300787833. The next prime is 1300787863. The reversal of 1300787840 is 487870031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1300787794 and 1300787803.

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 15 ways as a sum of consecutive naturals, for example, 300572 + ... + 304868.

Almost surely, 2^1300787840 is an apocalyptic number.

1300787840 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 1300787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736048160).

1300787840 is an abundant number, since it is smaller than the sum of its proper divisors (2171308480).

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

1300787840 is a wasteful number, since it uses less digits than its factorization.

1300787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 1300787840 is about 36066.4364749278. The cubic root of 1300787840 is about 1091.6133110945.

The spelling of 1300787840 in words is "one billion, three hundred million, seven hundred eighty-seven thousand, eight hundred forty".