769133160 has 96 divisors (see below), whose sum is σ = 2506140000. Its totient is φ = 204572544.

The previous prime is 769133153. The next prime is 769133203. The reversal of 769133160 is 61331967.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 148291 + ... + 153389.

It is an arithmetic number, because the mean of its divisors is an integer number (26105625).

Almost surely, 2^769133160 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 769133160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253070000).

769133160 is an abundant number, since it is smaller than the sum of its proper divisors (1737006840).

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

769133160 is a wasteful number, since it uses less digits than its factorization.

769133160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 769133160 is about 27733.2500800032. The cubic root of 769133160 is about 916.2215700663.

The spelling of 769133160 in words is "seven hundred sixty-nine million, one hundred thirty-three thousand, one hundred sixty".