77006 has 8 divisors (see below), whose sum is σ = 116760. Its totient is φ = 38088.

The previous prime is 77003. The next prime is 77017. The reversal of 77006 is 60077.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (14595).

2⁷⁷⁰⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 277×278.

77006 is a deficient number, since it is larger than the sum of its proper divisors (39754).

77006 is a wasteful number, since it uses less digits than its factorization.

77006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418.

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 77006 is about 277.4995495492. The cubic root of 77006 is about 42.5443136409.

The spelling of 77006 in words is "seventy-seven thousand, six".