769000 has 32 divisors (see below), whose sum is σ = 1801800. Its totient is φ = 307200.

The previous prime is 768983. The next prime is 769003. The reversal of 769000 is 967.

It can be written as a sum of positive squares in 4 ways, for example, as 188356 + 580644 = 434^2 + 762^2 .

It is a super-2 number, since 2×769000² = 1182722000000, which contains 22 as substring.

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

769000 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 616 + ... + 1384.

2⁷⁶⁹⁰⁰⁰ 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 769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900900).

769000 is an abundant number, since it is smaller than the sum of its proper divisors (1032800).

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

769000 is a wasteful number, since it uses less digits than its factorization.

769000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 769000 is about 876.9264507358. The cubic root of 769000 is about 91.6168691877.

Adding to 769000 its reverse (967), we get a palindrome (769967).

The spelling of 769000 in words is "seven hundred sixty-nine thousand".