77830506 has 48 divisors (see below), whose sum is σ = 183062880. Its totient is φ = 23755680.

The previous prime is 77830481. The next prime is 77830541. The reversal of 77830506 is 60503877.

77830506 is a `hidden beast` number, since 77 + 83 + 0 + 506 = 666.

It is a Smith number, since the sum of its digits (36) 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 23 ways as a sum of consecutive naturals, for example, 29385 + ... + 31923.

It is an arithmetic number, because the mean of its divisors is an integer number (3813810).

Almost surely, 2^77830506 is an apocalyptic number.

77830506 is the 4716-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77830506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91531440).

77830506 is an abundant number, since it is smaller than the sum of its proper divisors (105232374).

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

77830506 is a wasteful number, since it uses less digits than its factorization.

77830506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 77830506 is about 8822.1599396066. The cubic root of 77830506 is about 426.9561608195.

The spelling of 77830506 in words is "seventy-seven million, eight hundred thirty thousand, five hundred six".