766080 has 192 divisors, whose sum is σ = 3182400. Its totient is φ = 165888.

The previous prime is 766079. The next prime is 766091. The reversal of 766080 is 80667.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40311 + ... + 40329.

It is an arithmetic number, because the mean of its divisors is an integer number (16575).

2⁷⁶⁶⁰⁸⁰ is an apocalyptic number.

766080 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 766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591200).

766080 is an abundant number, since it is smaller than the sum of its proper divisors (2416320).

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

766080 is a wasteful number, since it uses less digits than its factorization.

766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 766080 is about 875.2599613829. The cubic root of 766080 is about 91.5007614377.

The spelling of 766080 in words is "seven hundred sixty-six thousand, eighty".