1238782720 has 108 divisors (see below), whose sum is σ = 3451899024. Its totient is φ = 424704000.

The previous prime is 1238782697. The next prime is 1238782747. The reversal of 1238782720 is 272878321.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52845 + ... + 72595.

It is an arithmetic number, because the mean of its divisors is an integer number (31962028).

Almost surely, 2^1238782720 is an apocalyptic number.

1238782720 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 1238782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725949512).

1238782720 is an abundant number, since it is smaller than the sum of its proper divisors (2213116304).

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

1238782720 is an equidigital number, since it uses as much as digits as its factorization.

1238782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19786 (or 19765 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 1238782720 is about 35196.3452648141. The cubic root of 1238782720 is about 1073.9854050752.

The spelling of 1238782720 in words is "one billion, two hundred thirty-eight million, seven hundred eighty-two thousand, seven hundred twenty".