77606220 has 48 divisors (see below), whose sum is σ = 219754080. Its totient is φ = 20461056.

The previous prime is 77606189. The next prime is 77606251. The reversal of 77606220 is 2260677.

It is an interprime number because it is at equal distance from previous prime (77606189) and next prime (77606251).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927 + ... + 12606.

It is an arithmetic number, because the mean of its divisors is an integer number (4578210).

Almost surely, 2^77606220 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 77606220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109877040).

77606220 is an abundant number, since it is smaller than the sum of its proper divisors (142147860).

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

77606220 is a wasteful number, since it uses less digits than its factorization.

77606220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14634 (or 14632 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 77606220 is about 8809.4392557075. The cubic root of 77606220 is about 426.5456430296.

Adding to 77606220 its reverse (2260677), we get a palindrome (79866897).

The spelling of 77606220 in words is "seventy-seven million, six hundred six thousand, two hundred twenty".