77677660 has 48 divisors (see below), whose sum is σ = 169848000. Its totient is φ = 29804544.

The previous prime is 77677609. The next prime is 77677679. The reversal of 77677660 is 6677677.

It is a self number, because there is not a number n which added to its sum of digits gives 77677660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115084 + ... + 115756.

It is an arithmetic number, because the mean of its divisors is an integer number (3538500).

Almost surely, 2^77677660 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 77677660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84924000).

77677660 is an abundant number, since it is smaller than the sum of its proper divisors (92170340).

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

77677660 is a wasteful number, since it uses less digits than its factorization.

77677660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 46.

The square root of 77677660 is about 8813.4930646141. The cubic root of 77677660 is about 426.6764876754.

The spelling of 77677660 in words is "seventy-seven million, six hundred seventy-seven thousand, six hundred sixty".