766803408 has 80 divisors (see below), whose sum is σ = 2295853056. Its totient is φ = 215994240.

The previous prime is 766803407. The next prime is 766803421. The reversal of 766803408 is 804308667.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 766803408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766803403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7785 + ... + 39927.

Almost surely, 2^766803408 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 766803408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147926528).

766803408 is an abundant number, since it is smaller than the sum of its proper divisors (1529049648).

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

766803408 is a wasteful number, since it uses less digits than its factorization.

766803408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32232 (or 32226 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 766803408 is about 27691.2153579434. The cubic root of 766803408 is about 915.2955371295.

The spelling of 766803408 in words is "seven hundred sixty-six million, eight hundred three thousand, four hundred eight".