76770 has 24 divisors (see below), whose sum is σ = 199836. Its totient is φ = 20448.

The previous prime is 76757. The next prime is 76771. The reversal of 76770 is 7767.

It can be written as a sum of positive squares in 2 ways, for example, as 68121 + 8649 = 261^2 + 93^2 .

It is not an unprimeable number, because it can be changed into a prime (76771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337 + ... + 516.

2⁷⁶⁷⁷⁰ is an apocalyptic number.

76770 is an abundant number, since it is smaller than the sum of its proper divisors (123066).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99918).

76770 is a wasteful number, since it uses less digits than its factorization.

76770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 76770 is about 277.0739973365. The cubic root of 76770 is about 42.5008073664.

The spelling of 76770 in words is "seventy-six thousand, seven hundred seventy".