77586012 has 144 divisors (see below), whose sum is σ = 238187040. Its totient is φ = 22044960.

The previous prime is 77585957. The next prime is 77586023. The reversal of 77586012 is 21068577.

77586012 is a `hidden beast` number, since 77 + 586 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428562 + ... + 428742.

Almost surely, 2^77586012 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 77586012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119093520).

77586012 is an abundant number, since it is smaller than the sum of its proper divisors (160601028).

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

77586012 is a wasteful number, since it uses less digits than its factorization.

77586012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 77586012 is about 8808.2922294847. The cubic root of 77586012 is about 426.5086168624.

The spelling of 77586012 in words is "seventy-seven million, five hundred eighty-six thousand, twelve".