769332096 has 192 divisors, whose sum is σ = 2437081920. Its totient is φ = 231469056.

The previous prime is 769332089. The next prime is 769332103. The reversal of 769332096 is 690233967.

It is an interprime number because it is at equal distance from previous prime (769332089) and next prime (769332103).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703326 + ... + 704418.

It is an arithmetic number, because the mean of its divisors is an integer number (12693135).

Almost surely, 2^769332096 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 769332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218540960).

769332096 is an abundant number, since it is smaller than the sum of its proper divisors (1667749824).

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

769332096 is a wasteful number, since it uses less digits than its factorization.

769332096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 769332096 is about 27736.8364454204. The cubic root of 769332096 is about 916.3005567106.

The spelling of 769332096 in words is "seven hundred sixty-nine million, three hundred thirty-two thousand, ninety-six".