77006106 has 32 divisors (see below), whose sum is σ = 172134720. Its totient is φ = 25517232.

The previous prime is 77006099. The next prime is 77006129. The reversal of 77006106 is 60160077.

It is a super-2 number, since 2×77006106² = 11859880722566472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 77006106.

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 15 ways as a sum of consecutive naturals, for example, 5221 + ... + 13463.

It is an arithmetic number, because the mean of its divisors is an integer number (5379210).

Almost surely, 2^77006106 is an apocalyptic number.

77006106 is an abundant number, since it is smaller than the sum of its proper divisors (95128614).

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

77006106 is a wasteful number, since it uses less digits than its factorization.

77006106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8427 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 77006106 is about 8775.3123021349. The cubic root of 77006106 is about 425.4433316182.

The spelling of 77006106 in words is "seventy-seven million, six thousand, one hundred six".