77805860 has 48 divisors (see below), whose sum is σ = 180436032. Its totient is φ = 27945600.

The previous prime is 77805859. The next prime is 77805881. The reversal of 77805860 is 6850877.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 16130 + ... + 20390.

It is an arithmetic number, because the mean of its divisors is an integer number (3759084).

Almost surely, 2^77805860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77805860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90218016).

77805860 is an abundant number, since it is smaller than the sum of its proper divisors (102630172).

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

77805860 is a wasteful number, since it uses less digits than its factorization.

77805860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 77805860 is about 8820.7630055455. The cubic root of 77805860 is about 426.9110890646.

The spelling of 77805860 in words is "seventy-seven million, eight hundred five thousand, eight hundred sixty".