769112064 has 192 divisors, whose sum is σ = 2605075200. Its totient is φ = 219635712.

The previous prime is 769112063. The next prime is 769112117. The reversal of 769112064 is 460211967.

It is a tau number, because it is divible by the number of its divisors (192).

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 (769112063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386079 + ... + 388065.

It is an arithmetic number, because the mean of its divisors is an integer number (13568100).

Almost surely, 2^769112064 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 769112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302537600).

769112064 is an abundant number, since it is smaller than the sum of its proper divisors (1835963136).

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

769112064 is a wasteful number, since it uses less digits than its factorization.

769112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 769112064 is about 27732.8697397150. The cubic root of 769112064 is about 916.2131931957.

The spelling of 769112064 in words is "seven hundred sixty-nine million, one hundred twelve thousand, sixty-four".