77123466 has 96 divisors (see below), whose sum is σ = 199749888. Its totient is φ = 21047040.

The previous prime is 77123447. The next prime is 77123483. The reversal of 77123466 is 66432177.

77123466 is a `hidden beast` number, since 77 + 123 + 466 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 77123466.

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 47 ways as a sum of consecutive naturals, for example, 330886 + ... + 331118.

It is an arithmetic number, because the mean of its divisors is an integer number (2080728).

Almost surely, 2^77123466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77123466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99874944).

77123466 is an abundant number, since it is smaller than the sum of its proper divisors (122626422).

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

77123466 is a wasteful number, since it uses less digits than its factorization.

77123466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 353 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 77123466 is about 8781.9966977903. The cubic root of 77123466 is about 425.6593520890.

The spelling of 77123466 in words is "seventy-seven million, one hundred twenty-three thousand, four hundred sixty-six".