76790 has 16 divisors (see below), whose sum is σ = 158112. Its totient is φ = 26304.

The previous prime is 76781. The next prime is 76801. The reversal of 76790 is 9767.

It is a congruent number.

It is an unprimeable number.

76790 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, 479 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (9882).

2⁷⁶⁷⁹⁰ is an apocalyptic number.

76790 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76790 is an abundant number, since it is smaller than the sum of its proper divisors (81322).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79056).

76790 is a wasteful number, since it uses less digits than its factorization.

76790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111.

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 76790 is about 277.1100864278. The cubic root of 76790 is about 42.5044977939.

The spelling of 76790 in words is "seventy-six thousand, seven hundred ninety".