77210112 has 160 divisors (see below), whose sum is σ = 241984512. Its totient is φ = 21417984.

The previous prime is 77210099. The next prime is 77210113. The reversal of 77210112 is 21101277.

It is a happy number.

It is a super-2 number, since 2×77210112² = 11922802790105088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (77210113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462253 + ... + 462419.

Almost surely, 2^77210112 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 77210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120992256).

77210112 is an abundant number, since it is smaller than the sum of its proper divisors (164774400).

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

77210112 is a wasteful number, since it uses less digits than its factorization.

77210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 77210112 is about 8786.9284735908. The cubic root of 77210112 is about 425.8186977846.

Adding to 77210112 its reverse (21101277), we get a palindrome (98311389).

The spelling of 77210112 in words is "seventy-seven million, two hundred ten thousand, one hundred twelve".