77820873 has 16 divisors (see below), whose sum is σ = 111933696. Its totient is φ = 47808000.

The previous prime is 77820859. The next prime is 77820887. The reversal of 77820873 is 37802877.

It is an interprime number because it is at equal distance from previous prime (77820859) and next prime (77820887).

It is not a de Polignac number, because 77820873 - 2⁴ = 77820857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77860873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27961 + ... + 30617.

It is an arithmetic number, because the mean of its divisors is an integer number (6995856).

Almost surely, 2^77820873 is an apocalyptic number.

It is an amenable number.

77820873 is a deficient number, since it is larger than the sum of its proper divisors (34112823).

77820873 is a wasteful number, since it uses less digits than its factorization.

77820873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424.

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 77820873 is about 8821.6139679766. The cubic root of 77820873 is about 426.9385454541.

The spelling of 77820873 in words is "seventy-seven million, eight hundred twenty thousand, eight hundred seventy-three".