786907968 has 448 divisors, whose sum is σ = 2865217536. Its totient is φ = 184320000.

The previous prime is 786907963. The next prime is 786907987. The reversal of 786907968 is 869709687.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786907963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7791118 + ... + 7791218.

Almost surely, 2^786907968 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 786907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432608768).

786907968 is an abundant number, since it is smaller than the sum of its proper divisors (2078309568).

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

786907968 is a wasteful number, since it uses less digits than its factorization.

786907968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The square root of 786907968 is about 28051.8799370024. The cubic root of 786907968 is about 923.2259028943.

The spelling of 786907968 in words is "seven hundred eighty-six million, nine hundred seven thousand, nine hundred sixty-eight".