769905216 has 112 divisors (see below), whose sum is σ = 2318796480. Its totient is φ = 250352640.

The previous prime is 769905211. The next prime is 769905221. The reversal of 769905216 is 612509967.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (769905211) and next prime (769905221).

It is not an unprimeable number, because it can be changed into a prime (769905211) 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, 65415 + ... + 76281.

It is an arithmetic number, because the mean of its divisors is an integer number (20703540).

Almost surely, 2^769905216 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 769905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159398240).

769905216 is an abundant number, since it is smaller than the sum of its proper divisors (1548891264).

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

769905216 is a wasteful number, since it uses less digits than its factorization.

769905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10929 (or 10913 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 769905216 is about 27747.1659093321. The cubic root of 769905216 is about 916.5280353365.

The spelling of 769905216 in words is "seven hundred sixty-nine million, nine hundred five thousand, two hundred sixteen".