766103040 has 240 divisors, whose sum is σ = 2721294576. Its totient is φ = 199065600.

The previous prime is 766103033. The next prime is 766103057. The reversal of 766103040 is 40301667.

766103040 is a `hidden beast` number, since 7 + 6 + 610 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 766102995 and 766103013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944235 + ... + 945045.

Almost surely, 2^766103040 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 766103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360647288).

766103040 is an abundant number, since it is smaller than the sum of its proper divisors (1955191536).

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

766103040 is a wasteful number, since it uses less digits than its factorization.

766103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 766103040 is about 27678.5664368659. The cubic root of 766103040 is about 915.0167872939.

The spelling of 766103040 in words is "seven hundred sixty-six million, one hundred three thousand, forty".