766218240 has 156 divisors (see below), whose sum is σ = 2656537884. Its totient is φ = 204275712.

The previous prime is 766218239. The next prime is 766218253. The reversal of 766218240 is 42812667.

766218240 is a `hidden beast` number, since 7 + 6 + 621 + 8 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 312016896 + 454201344 = 17664^2 + 21312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 766218195 and 766218204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182242 + ... + 186398.

It is an arithmetic number, because the mean of its divisors is an integer number (17029089).

Almost surely, 2^766218240 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 766218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328268942).

766218240 is an abundant number, since it is smaller than the sum of its proper divisors (1890319644).

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

766218240 is a wasteful number, since it uses less digits than its factorization.

766218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 766218240 is about 27680.6473912732. The cubic root of 766218240 is about 915.0626491190.

The spelling of 766218240 in words is "seven hundred sixty-six million, two hundred eighteen thousand, two hundred forty".