7777700112 has 320 divisors, whose sum is σ = 25918341120. Its totient is φ = 1954713600.

The previous prime is 7777700111. The next prime is 7777700129. The reversal of 7777700112 is 2110077777.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7777700111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9613564 + ... + 9614372.

It is an arithmetic number, because the mean of its divisors is an integer number (80994816).

Almost surely, 2^7777700112 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 7777700112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959170560).

7777700112 is an abundant number, since it is smaller than the sum of its proper divisors (18140641008).

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

7777700112 is a wasteful number, since it uses less digits than its factorization.

7777700112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 33614, while the sum is 39.

The square root of 7777700112 is about 88191.2700441489. The cubic root of 7777700112 is about 1981.3007227183.

Adding to 7777700112 its reverse (2110077777), we get a palindrome (9887777889).

The spelling of 7777700112 in words is "seven billion, seven hundred seventy-seven million, seven hundred thousand, one hundred twelve".