766171440 has 160 divisors (see below), whose sum is σ = 2695541760. Its totient is φ = 199938816.

The previous prime is 766171429. The next prime is 766171457. The reversal of 766171440 is 44171667.

766171440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 766171395 and 766171404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97747 + ... + 105293.

It is an arithmetic number, because the mean of its divisors is an integer number (16847136).

Almost surely, 2^766171440 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 766171440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347770880).

766171440 is an abundant number, since it is smaller than the sum of its proper divisors (1929370320).

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

766171440 is a wasteful number, since it uses less digits than its factorization.

766171440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 766171440 is about 27679.8020224134. The cubic root of 766171440 is about 915.0440183070.

The spelling of 766171440 in words is "seven hundred sixty-six million, one hundred seventy-one thousand, four hundred forty".