786941257960 has 192 divisors, whose sum is σ = 2130295058640. Its totient is φ = 259816550400.

The previous prime is 786941257931. The next prime is 786941257967. The reversal of 786941257960 is 69752149687.

It can be written as a sum of positive squares in 8 ways, for example, as 215093743524 + 571847514436 = 463782^2 + 756206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 786941257892 and 786941257901.

It is not an unprimeable number, because it can be changed into a prime (786941257967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3735604 + ... + 3940636.

Almost surely, 2^786941257960 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 786941257960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065147529320).

786941257960 is an abundant number, since it is smaller than the sum of its proper divisors (1343353800680).

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

786941257960 is a wasteful number, since it uses less digits than its factorization.

786941257960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205140 (or 205125 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

The spelling of 786941257960 in words is "seven hundred eighty-six billion, nine hundred forty-one million, two hundred fifty-seven thousand, nine hundred sixty".