783282133900 has 144 divisors (see below), whose sum is σ = 1972738736640. Its totient is φ = 264410496000.

The previous prime is 783282133867. The next prime is 783282133903. The reversal of 783282133900 is 9331282387.

It is a super-2 number, since 2×783282133900² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (783282133903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11911311 + ... + 11976889.

It is an arithmetic number, because the mean of its divisors is an integer number (13699574560).

Almost surely, 2^783282133900 is an apocalyptic number.

783282133900 is a gapful number since it is divisible by the number (70) 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 783282133900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986369368320).

783282133900 is an abundant number, since it is smaller than the sum of its proper divisors (1189456602740).

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

783282133900 is a wasteful number, since it uses less digits than its factorization.

783282133900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65864 (or 65857 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 783282133900 in words is "seven hundred eighty-three billion, two hundred eighty-two million, one hundred thirty-three thousand, nine hundred".