768090 has 16 divisors (see below), whose sum is σ = 1843488. Its totient is φ = 204816.

The previous prime is 768073. The next prime is 768101. The reversal of 768090 is 90867.

768090 = 108² + 109² + ... + 152².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 25603 = 768090 / (7 + 6 + 8 + 0 + 9 + 0).

It is an unprimeable number.

768090 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12772 + ... + 12831.

It is an arithmetic number, because the mean of its divisors is an integer number (115218).

2⁷⁶⁸⁰⁹⁰ is an apocalyptic number.

768090 is an abundant number, since it is smaller than the sum of its proper divisors (1075398).

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

768090 is a wasteful number, since it uses less digits than its factorization.

768090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25613.

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

The square root of 768090 is about 876.4074394938. The cubic root of 768090 is about 91.5807164965.

The spelling of 768090 in words is "seven hundred sixty-eight thousand, ninety".