77011660 has 60 divisors (see below), whose sum is σ = 178572240. Its totient is φ = 27897760.

The previous prime is 77011651. The next prime is 77011679. The reversal of 77011660 is 6611077.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 292689 + ... + 292951.

It is an arithmetic number, because the mean of its divisors is an integer number (2976204).

Almost surely, 2^77011660 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 77011660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89286120).

77011660 is an abundant number, since it is smaller than the sum of its proper divisors (101560580).

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

77011660 is a wasteful number, since it uses less digits than its factorization.

77011660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 77011660 is about 8775.6287524029. The cubic root of 77011660 is about 425.4535596187.

The spelling of 77011660 in words is "seventy-seven million, eleven thousand, six hundred sixty".