780541138944 has 768 divisors, whose sum is σ = 2800272384000. Its totient is φ = 209854955520.

The previous prime is 780541138939. The next prime is 780541138969. The reversal of 780541138944 is 449831145087.

780541138944 is a `hidden beast` number, since 7 + 8 + 0 + 541 + 1 + 3 + 8 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 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, 1551771397 + ... + 1551771899.

It is an arithmetic number, because the mean of its divisors is an integer number (3646188000).

Almost surely, 2^780541138944 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 780541138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400136192000).

780541138944 is an abundant number, since it is smaller than the sum of its proper divisors (2019731245056).

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

780541138944 is a wasteful number, since it uses less digits than its factorization.

780541138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 780541138944 in words is "seven hundred eighty billion, five hundred forty-one million, one hundred thirty-eight thousand, nine hundred forty-four".