77007 has 16 divisors (see below), whose sum is σ = 124160. Its totient is φ = 41472.

The previous prime is 77003. The next prime is 77017. The reversal of 77007 is 70077.

It is not a de Polignac number, because 77007 - 2² = 77003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is the 278-th Hogben number.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77007.

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

It is a nontrivial repunit in base 277.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (7760).

2⁷⁷⁰⁰⁷ is an apocalyptic number.

77007 is a deficient number, since it is larger than the sum of its proper divisors (47153).

77007 is a wasteful number, since it uses less digits than its factorization.

77007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222.

The product of its (nonzero) digits is 343, while the sum is 21.

The square root of 77007 is about 277.5013513481. The cubic root of 77007 is about 42.5444978002.

Adding to 77007 its sum of digits (21), we get a triangular number (77028 = T₃₉₂).

The spelling of 77007 in words is "seventy-seven thousand, seven", and thus it is an iban number.