783981313920 has 1024 divisors, whose sum is σ = 3315375360000. Its totient is φ = 171339743232.

The previous prime is 783981313873. The next prime is 783981313949. The reversal of 783981313920 is 29313189387.

783981313920 is a `hidden beast` number, since 78 + 398 + 131 + 39 + 20 = 666.

It is a super-3 number, since 3×783981313920³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264054196 + ... + 264057164.

It is an arithmetic number, because the mean of its divisors is an integer number (3237671250).

Almost surely, 2^783981313920 is an apocalyptic number.

783981313920 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 783981313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657687680000).

783981313920 is an abundant number, since it is smaller than the sum of its proper divisors (2531394046080).

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

783981313920 is a wasteful number, since it uses less digits than its factorization.

783981313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

It can be divided in two parts, 783981 and 313920, that added together give a palindrome (1097901).

The spelling of 783981313920 in words is "seven hundred eighty-three billion, nine hundred eighty-one million, three hundred thirteen thousand, nine hundred twenty".