766449216 has 336 divisors, whose sum is σ = 2609478144. Its totient is φ = 220962816.

The previous prime is 766449209. The next prime is 766449241. The reversal of 766449216 is 612944667.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3436881 + ... + 3437103.

It is an arithmetic number, because the mean of its divisors is an integer number (7766304).

Almost surely, 2^766449216 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 766449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304739072).

766449216 is an abundant number, since it is smaller than the sum of its proper divisors (1843028928).

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

766449216 is a wasteful number, since it uses less digits than its factorization.

766449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 766449216 is about 27684.8192336522. The cubic root of 766449216 is about 915.1545882320.

The spelling of 766449216 in words is "seven hundred sixty-six million, four hundred forty-nine thousand, two hundred sixteen".