769440 has 96 divisors (see below), whose sum is σ = 2782080. Its totient is φ = 175104.

The previous prime is 769429. The next prime is 769453. The reversal of 769440 is 44967.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 769398 and 769407.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 769440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3246 + ... + 3474.

It is an arithmetic number, because the mean of its divisors is an integer number (28980).

2⁷⁶⁹⁴⁴⁰ is an apocalyptic number.

769440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391040).

769440 is an abundant number, since it is smaller than the sum of its proper divisors (2012640).

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

769440 is a wasteful number, since it uses less digits than its factorization.

769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 769440 is about 877.1772910877. The cubic root of 769440 is about 91.6343393813.

The spelling of 769440 in words is "seven hundred sixty-nine thousand, four hundred forty".