77660856 has 192 divisors, whose sum is σ = 269068800. Its totient is φ = 20435328.

The previous prime is 77660851. The next prime is 77660887. The reversal of 77660856 is 65806677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77660851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176685 + ... + 177123.

It is an arithmetic number, because the mean of its divisors is an integer number (1401400).

Almost surely, 2^77660856 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 77660856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134534400).

77660856 is an abundant number, since it is smaller than the sum of its proper divisors (191407944).

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

77660856 is a wasteful number, since it uses less digits than its factorization.

77660856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 77660856 is about 8812.5397020382. The cubic root of 77660856 is about 426.6457178300.

The spelling of 77660856 in words is "seventy-seven million, six hundred sixty thousand, eight hundred fifty-six".