786467784960 has 3456 divisors, whose sum is σ = 3748686842880. Its totient is φ = 154156400640.

The previous prime is 786467784959. The next prime is 786467784967. The reversal of 786467784960 is 69487764687.

It is a happy number.

786467784960 is a `hidden beast` number, since 7 + 8 + 6 + 4 + 67 + 78 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (786467784967) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21255886062 + ... + 21255886098.

It is an arithmetic number, because the mean of its divisors is an integer number (1084689480).

Almost surely, 2^786467784960 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 786467784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874343421440).

786467784960 is an abundant number, since it is smaller than the sum of its proper divisors (2962219057920).

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

786467784960 is a wasteful number, since it uses less digits than its factorization.

786467784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 786467784960 in words is "seven hundred eighty-six billion, four hundred sixty-seven million, seven hundred eighty-four thousand, nine hundred sixty".