780861634560 has 768 divisors, whose sum is σ = 3216287692800. Its totient is φ = 176005840896.

The previous prime is 780861634541. The next prime is 780861634589. The reversal of 780861634560 is 65436168087.

780861634560 is a `hidden beast` number, since 78 + 0 + 8 + 6 + 1 + 6 + 3 + 4 + 560 = 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 junction number, because it is equal to n+sod(n) for n = 780861634497 and 780861634506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141278517 + ... + 141284043.

It is an arithmetic number, because the mean of its divisors is an integer number (4187874600).

Almost surely, 2^780861634560 is an apocalyptic number.

780861634560 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 780861634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608143846400).

780861634560 is an abundant number, since it is smaller than the sum of its proper divisors (2435426058240).

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

780861634560 is a wasteful number, since it uses less digits than its factorization.

780861634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5643 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 780861634560 in words is "seven hundred eighty billion, eight hundred sixty-one million, six hundred thirty-four thousand, five hundred sixty".