769142528 has 72 divisors (see below), whose sum is σ = 1914165120. Its totient is φ = 299658240.

The previous prime is 769142483. The next prime is 769142533. The reversal of 769142528 is 825241967.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 203 + ... + 39221.

Almost surely, 2^769142528 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 769142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957082560).

769142528 is an abundant number, since it is smaller than the sum of its proper divisors (1145022592).

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

769142528 is a wasteful number, since it uses less digits than its factorization.

769142528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39053 (or 39039 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 769142528 is about 27733.4189742267. The cubic root of 769142528 is about 916.2252898942.

The spelling of 769142528 in words is "seven hundred sixty-nine million, one hundred forty-two thousand, five hundred twenty-eight".