77684860 has 48 divisors (see below), whose sum is σ = 178762752. Its totient is φ = 28123200.

The previous prime is 77684839. The next prime is 77684861. The reversal of 77684860 is 6848677.

It is a self number, because there is not a number n which added to its sum of digits gives 77684860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77684861) by changing a digit.

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, 58969 + ... + 60271.

It is an arithmetic number, because the mean of its divisors is an integer number (3724224).

Almost surely, 2^77684860 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 77684860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89381376).

77684860 is an abundant number, since it is smaller than the sum of its proper divisors (101077892).

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

77684860 is a wasteful number, since it uses less digits than its factorization.

77684860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 77684860 is about 8813.9015197584. The cubic root of 77684860 is about 426.6896702550.

It can be divided in two parts, 7 and 7684860, that added together give a palindrome (7684867).

The spelling of 77684860 in words is "seventy-seven million, six hundred eighty-four thousand, eight hundred sixty".