766417920 has 176 divisors, whose sum is σ = 2513191968. Its totient is φ = 199229440.

The previous prime is 766417907. The next prime is 766417921. The reversal of 766417920 is 29714667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766417921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 629152 + ... + 630368.

Almost surely, 2^766417920 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 766417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256595984).

766417920 is an abundant number, since it is smaller than the sum of its proper divisors (1746774048).

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

766417920 is a wasteful number, since it uses less digits than its factorization.

766417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 766417920 is about 27684.2540083709. The cubic root of 766417920 is about 915.1421320609.

The spelling of 766417920 in words is "seven hundred sixty-six million, four hundred seventeen thousand, nine hundred twenty".