769139712 has 264 divisors, whose sum is σ = 2521445472. Its totient is φ = 232243200.

The previous prime is 769139689. The next prime is 769139719. The reversal of 769139712 is 217931967.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (769139719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2737012 + ... + 2737292.

Almost surely, 2^769139712 is an apocalyptic number.

769139712 is a gapful number since it is divisible by the number (72) 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 769139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260722736).

769139712 is an abundant number, since it is smaller than the sum of its proper divisors (1752305760).

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

769139712 is a wasteful number, since it uses less digits than its factorization.

769139712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 297 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 769139712 is about 27733.3682051063. The cubic root of 769139712 is about 916.2241717254.

The spelling of 769139712 in words is "seven hundred sixty-nine million, one hundred thirty-nine thousand, seven hundred twelve".