783008138880 has 512 divisors, whose sum is σ = 3070461772800. Its totient is φ = 186983976960.

The previous prime is 783008138849. The next prime is 783008138903. The reversal of 783008138880 is 88831800387.

It is a super-2 number, since 2×783008138880² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12704619 + ... + 12766101.

It is an arithmetic number, because the mean of its divisors is an integer number (5996995650).

Almost surely, 2^783008138880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 783008138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535230886400).

783008138880 is an abundant number, since it is smaller than the sum of its proper divisors (2287453633920).

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

783008138880 is a wasteful number, since it uses less digits than its factorization.

783008138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61589 (or 61571 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 783008138880 in words is "seven hundred eighty-three billion, eight million, one hundred thirty-eight thousand, eight hundred eighty".