769080 has 128 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 172032.

The previous prime is 769073. The next prime is 769081. The reversal of 769080 is 80967.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26506 + ... + 26534.

2⁷⁶⁹⁰⁸⁰ 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 769080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

769080 is an abundant number, since it is smaller than the sum of its proper divisors (1952520).

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

769080 is a wasteful number, since it uses less digits than its factorization.

769080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 69 counting only the distinct ones).

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

The square root of 769080 is about 876.9720634091. The cubic root of 769080 is about 91.6200460821.

The spelling of 769080 in words is "seven hundred sixty-nine thousand, eighty".