769862016 has 384 divisors, whose sum is σ = 2865139200. Its totient is φ = 199203840.

The previous prime is 769861993. The next prime is 769862033. The reversal of 769862016 is 610268967.

769862016 is a `hidden beast` number, since 7 + 6 + 9 + 8 + 620 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 2927101 + ... + 2927363.

It is an arithmetic number, because the mean of its divisors is an integer number (7461300).

Almost surely, 2^769862016 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 769862016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432569600).

769862016 is an abundant number, since it is smaller than the sum of its proper divisors (2095277184).

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

769862016 is a wasteful number, since it uses less digits than its factorization.

769862016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 769862016 is about 27746.3874405300. The cubic root of 769862016 is about 916.5108926411.

The spelling of 769862016 in words is "seven hundred sixty-nine million, eight hundred sixty-two thousand, sixteen".