1238765680 has 80 divisors (see below), whose sum is σ = 2938383360. Its totient is φ = 485565696.

The previous prime is 1238765663. The next prime is 1238765681. The reversal of 1238765680 is 865678321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1238765680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238765681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1280557 + ... + 1281523.

It is an arithmetic number, because the mean of its divisors is an integer number (36729792).

Almost surely, 2^1238765680 is an apocalyptic number.

1238765680 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 1238765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469191680).

1238765680 is an abundant number, since it is smaller than the sum of its proper divisors (1699617680).

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

1238765680 is a wasteful number, since it uses less digits than its factorization.

1238765680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 1238765680 is about 35196.1031933934. The cubic root of 1238765680 is about 1073.9804806725.

The spelling of 1238765680 in words is "one billion, two hundred thirty-eight million, seven hundred sixty-five thousand, six hundred eighty".