77630020 has 48 divisors (see below), whose sum is σ = 177020928. Its totient is φ = 28425600.

The previous prime is 77629999. The next prime is 77630023. The reversal of 77630020 is 2003677.

It is not an unprimeable number, because it can be changed into a prime (77630023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31845 + ... + 34195.

It is an arithmetic number, because the mean of its divisors is an integer number (3687936).

Almost surely, 2^77630020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77630020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88510464).

77630020 is an abundant number, since it is smaller than the sum of its proper divisors (99390908).

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

77630020 is a wasteful number, since it uses less digits than its factorization.

77630020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 77630020 is about 8810.7899759329. The cubic root of 77630020 is about 426.5892424074.

Adding to 77630020 its reverse (2003677), we get a palindrome (79633697).

The spelling of 77630020 in words is "seventy-seven million, six hundred thirty thousand, twenty".