77630 has 16 divisors (see below), whose sum is σ = 159840. Its totient is φ = 26592.

The previous prime is 77621. The next prime is 77641. The reversal of 77630 is 3677.

77630 = 29² + 30² + ... + 63².

It is a nialpdrome in base 7 and base 10.

It is a junction number, because it is equal to n+sod(n) for n = 77596 and 77605.

It is a congruent number.

It is an unprimeable number.

77630 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485 + ... + 624.

It is an arithmetic number, because the mean of its divisors is an integer number (9990).

2⁷⁷⁶³⁰ is an apocalyptic number.

77630 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

77630 is an abundant number, since it is smaller than the sum of its proper divisors (82210).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79920).

77630 is a wasteful number, since it uses less digits than its factorization.

77630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123.

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 77630 is about 278.6216072023. The cubic root of 77630 is about 42.6589205773.

It can be divided in two parts, 77 and 630, that added together give a palindrome (707).

The spelling of 77630 in words is "seventy-seven thousand, six hundred thirty".