77223006 has 48 divisors (see below), whose sum is σ = 199540224. Its totient is φ = 21103632.

The previous prime is 77222989. The next prime is 77223017. The reversal of 77223006 is 60032277.

It is a super-3 number, since 3×77223006³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

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, 10426 + ... + 16221.

It is an arithmetic number, because the mean of its divisors is an integer number (4157088).

Almost surely, 2^77223006 is an apocalyptic number.

77223006 is an abundant number, since it is smaller than the sum of its proper divisors (122317218).

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

77223006 is a wasteful number, since it uses less digits than its factorization.

77223006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26685 (or 26682 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 77223006 is about 8787.6621464415. The cubic root of 77223006 is about 425.8424002097.

The spelling of 77223006 in words is "seventy-seven million, two hundred twenty-three thousand, six".