766409384 has 64 divisors (see below), whose sum is σ = 1648987200. Its totient is φ = 331001856.

The previous prime is 766409383. The next prime is 766409387. The reversal of 766409384 is 483904667.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (766409383) 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, 161672 + ... + 166344.

It is an arithmetic number, because the mean of its divisors is an integer number (25765425).

Almost surely, 2^766409384 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 766409384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824493600).

766409384 is an abundant number, since it is smaller than the sum of its proper divisors (882577816).

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

766409384 is a wasteful number, since it uses less digits than its factorization.

766409384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The square root of 766409384 is about 27684.0998408834. The cubic root of 766409384 is about 915.1387345750.

The spelling of 766409384 in words is "seven hundred sixty-six million, four hundred nine thousand, three hundred eighty-four".