769106016 has 480 divisors, whose sum is σ = 2868687360. Its totient is φ = 197074944.

The previous prime is 769105999. The next prime is 769106017. The reversal of 769106016 is 610601967.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769106017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7928880 + ... + 7928976.

It is an arithmetic number, because the mean of its divisors is an integer number (5976432).

Almost surely, 2^769106016 is an apocalyptic number.

769106016 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434343680).

769106016 is an abundant number, since it is smaller than the sum of its proper divisors (2099581344).

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

769106016 is a wasteful number, since it uses less digits than its factorization.

769106016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 769106016 is about 27732.7606992164. The cubic root of 769106016 is about 916.2107916073.

The spelling of 769106016 in words is "seven hundred sixty-nine million, one hundred six thousand, sixteen".