786343680 has 288 divisors, whose sum is σ = 2843776320. Its totient is φ = 205701120.

The previous prime is 786343639. The next prime is 786343703. The reversal of 786343680 is 86343687.

786343680 is a `hidden beast` number, since 7 + 8 + 634 + 3 + 6 + 8 + 0 = 666.

786343680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107974 + ... + 2108346.

Almost surely, 2^786343680 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 786343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421888160).

786343680 is an abundant number, since it is smaller than the sum of its proper divisors (2057432640).

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

786343680 is a wasteful number, since it uses less digits than its factorization.

786343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 786343680 is about 28041.8201976976. The cubic root of 786343680 is about 923.0051698072.

The spelling of 786343680 in words is "seven hundred eighty-six million, three hundred forty-three thousand, six hundred eighty".