769008 has 40 divisors (see below), whose sum is σ = 2045008. Its totient is φ = 248832.

The previous prime is 769007. The next prime is 769019. The reversal of 769008 is 800967.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769003) by changing a digit.

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, 1560 + ... + 1992.

2⁷⁶⁹⁰⁰⁸ 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 769008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022504).

769008 is an abundant number, since it is smaller than the sum of its proper divisors (1276000).

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

769008 is a wasteful number, since it uses less digits than its factorization.

769008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 769008 is about 876.9310121098. The cubic root of 769008 is about 91.6171868871.

The spelling of 769008 in words is "seven hundred sixty-nine thousand, eight".