786021096960 has 640 divisors, whose sum is σ = 3083676203520. Its totient is φ = 190535639040.

The previous prime is 786021096941. The next prime is 786021097009. The reversal of 786021096960 is 69690120687.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 786021096897 and 786021096906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61579539 + ... + 61592301.

It is an arithmetic number, because the mean of its divisors is an integer number (4818244068).

Almost surely, 2^786021096960 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 786021096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541838101760).

786021096960 is an abundant number, since it is smaller than the sum of its proper divisors (2297655106560).

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

786021096960 is an equidigital number, since it uses as much as digits as its factorization.

786021096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12818 (or 12784 counting only the distinct ones).

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

The spelling of 786021096960 in words is "seven hundred eighty-six billion, twenty-one million, ninety-six thousand, nine hundred sixty".