77628 has 12 divisors (see below), whose sum is σ = 181160. Its totient is φ = 25872.

The previous prime is 77621. The next prime is 77641. The reversal of 77628 is 82677.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×77628² = 12052212768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 77595 and 77604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77621) by changing a digit.

77628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3223 + ... + 3246.

2⁷⁷⁶²⁸ is an apocalyptic number.

It is an amenable number.

77628 is an abundant number, since it is smaller than the sum of its proper divisors (103532).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90580).

77628 is a wasteful number, since it uses less digits than its factorization.

77628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476 (or 6474 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 77628 is about 278.6180180821. The cubic root of 77628 is about 42.6585542302.

The spelling of 77628 in words is "seventy-seven thousand, six hundred twenty-eight".