76077 has 12 divisors (see below), whose sum is σ = 112320. Its totient is φ = 49608.

The previous prime is 76039. The next prime is 76079. The reversal of 76077 is 77067.

It is not a de Polignac number, because 76077 - 2⁸ = 75821 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

76077 is a lucky number.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 76077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 658 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2⁷⁶⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

76077 is a deficient number, since it is larger than the sum of its proper divisors (36243).

76077 is a wasteful number, since it uses less digits than its factorization.

76077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 76077 is about 275.8205938649. The cubic root of 76077 is about 42.3725362078.

Subtracting 76077 from its reverse (77067), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 7 and 6077, that added together give a square (6084 = 78²).

The spelling of 76077 in words is "seventy-six thousand, seventy-seven".