770112 has 84 divisors (see below), whose sum is σ = 2535936. Its totient is φ = 218880.

The previous prime is 770111. The next prime is 770113. The reversal of 770112 is 211077.

It is an interprime number because it is at equal distance from previous prime (770111) and next prime (770113).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (770111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3937 + ... + 4127.

2⁷⁷⁰¹¹² is an apocalyptic number.

770112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267968).

770112 is an abundant number, since it is smaller than the sum of its proper divisors (1765824).

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

770112 is a wasteful number, since it uses less digits than its factorization.

770112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 770112 is about 877.5602543415. The cubic root of 770112 is about 91.6610082825.

Adding to 770112 its reverse (211077), we get a palindrome (981189).

The spelling of 770112 in words is "seven hundred seventy thousand, one hundred twelve", and thus it is an iban number.