77683860 has 120 divisors (see below), whose sum is σ = 247188480. Its totient is φ = 20419776.

The previous prime is 77683817. The next prime is 77683873. The reversal of 77683860 is 6838677.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 127677 + ... + 128283.

It is an arithmetic number, because the mean of its divisors is an integer number (2059904).

Almost surely, 2^77683860 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 77683860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123594240).

77683860 is an abundant number, since it is smaller than the sum of its proper divisors (169504620).

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

77683860 is a wasteful number, since it uses less digits than its factorization.

77683860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 77683860 is about 8813.8447910092. The cubic root of 77683860 is about 426.6878393899.

It can be divided in two parts, 7768 and 3860, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 77683860 in words is "seventy-seven million, six hundred eighty-three thousand, eight hundred sixty".