77122812 has 72 divisors (see below), whose sum is σ = 206415216. Its totient is φ = 22324224.

The previous prime is 77122807. The next prime is 77122813. The reversal of 77122812 is 21822177.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 77122812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77122813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33358 + ... + 35594.

It is an arithmetic number, because the mean of its divisors is an integer number (2866878).

Almost surely, 2^77122812 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 77122812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103207608).

77122812 is an abundant number, since it is smaller than the sum of its proper divisors (129292404).

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

77122812 is a wasteful number, since it uses less digits than its factorization.

77122812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2272 counting only the distinct ones).

The product of its digits is 3136, while the sum is 30.

The square root of 77122812 is about 8781.9594624434. The cubic root of 77122812 is about 425.6581489014.

Adding to 77122812 its reverse (21822177), we get a palindrome (98944989).

The spelling of 77122812 in words is "seventy-seven million, one hundred twenty-two thousand, eight hundred twelve".