769896 has 72 divisors (see below), whose sum is σ = 2274870. Its totient is φ = 235008.

The previous prime is 769871. The next prime is 769903. The reversal of 769896 is 698967.

It can be written as a sum of positive squares in 3 ways, for example, as 756900 + 12996 = 870^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

769896 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 17 ways as a sum of consecutive naturals, for example, 20790 + ... + 20826.

2⁷⁶⁹⁸⁹⁶ 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 769896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137435).

769896 is an abundant number, since it is smaller than the sum of its proper divisors (1504974).

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

769896 is a wasteful number, since it uses less digits than its factorization.

769896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 769896 is about 877.4371772383. The cubic root of 769896 is about 91.6524378282.

The spelling of 769896 in words is "seven hundred sixty-nine thousand, eight hundred ninety-six".