7077 has 8 divisors (see below), whose sum is σ = 10816. Its totient is φ = 4032.

The previous prime is 7069. The next prime is 7079. The reversal of 7077 is 7707.

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

It is not a de Polignac number, because 7077 - 2³ = 7069 is a prime.

It is a super-3 number, since 3×7077³ = 1063331896599, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 337 = 7077 / (7 + 0 + 7 + 7).

It is a Duffinian number.

7077 is a modest number, since divided by 77 gives 70 as remainder.

7077 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (1352).

It is an amenable number.

7077 is a deficient number, since it is larger than the sum of its proper divisors (3739).

7077 is a wasteful number, since it uses less digits than its factorization.

7077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347.

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

The square root of 7077 is about 84.1249071322. The cubic root of 7077 is about 19.1991970150.

Subtracting from 7077 its sum of digits (21), we obtain a square (7056 = 84²).

Subtracting 7077 from its reverse (7707), we obtain a triangular number (630 = T₃₅).

The spelling of 7077 in words is "seven thousand, seventy-seven", and thus it is an iban number.