766141728 has 96 divisors (see below), whose sum is σ = 2207907072. Its totient is φ = 230688000.

The previous prime is 766141711. The next prime is 766141751. The reversal of 766141728 is 827141667.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 766141728.

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 15 ways as a sum of consecutive naturals, for example, 169903 + ... + 174353.

It is an arithmetic number, because the mean of its divisors is an integer number (22999032).

Almost surely, 2^766141728 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 766141728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103953536).

766141728 is an abundant number, since it is smaller than the sum of its proper divisors (1441765344).

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

766141728 is a wasteful number, since it uses less digits than its factorization.

766141728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4630 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 766141728 is about 27679.2653081689. The cubic root of 766141728 is about 915.0321897362.

The spelling of 766141728 in words is "seven hundred sixty-six million, one hundred forty-one thousand, seven hundred twenty-eight".