786561888960 has 336 divisors, whose sum is σ = 2840070804480. Its totient is φ = 199541975040.

The previous prime is 786561888949. The next prime is 786561888989. The reversal of 786561888960 is 69888165687.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5192859 + ... + 5342181.

It is an arithmetic number, because the mean of its divisors is an integer number (8452591680).

Almost surely, 2^786561888960 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 786561888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420035402240).

786561888960 is an abundant number, since it is smaller than the sum of its proper divisors (2053508915520).

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

786561888960 is a wasteful number, since it uses less digits than its factorization.

786561888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149436 (or 149423 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 786561888960 in words is "seven hundred eighty-six billion, five hundred sixty-one million, eight hundred eighty-eight thousand, nine hundred sixty".