77028 has 36 divisors (see below), whose sum is σ = 210672. Its totient is φ = 21840.

The previous prime is 77023. The next prime is 77029. The reversal of 77028 is 82077.

77028 is a nontrivial binomial coefficient, being equal to C(393, 2).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 76989 and 77007.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77028.

It is not an unprimeable number, because it can be changed into a prime (77023) 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, 523 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (5852).

2⁷⁷⁰²⁸ is an apocalyptic number.

77028 is the 392-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105336).

77028 is an abundant number, since it is smaller than the sum of its proper divisors (133644).

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

77028 is a wasteful number, since it uses less digits than its factorization.

77028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 77028 is about 277.5391864224. The cubic root of 77028 is about 42.5483647788.

It can be divided in two parts, 7702 and 8, that multiplied together give a palindrome (61616).

The spelling of 77028 in words is "seventy-seven thousand, twenty-eight".