77126112 has 144 divisors (see below), whose sum is σ = 254846592. Its totient is φ = 21669120.

The previous prime is 77126099. The next prime is 77126117. The reversal of 77126112 is 21162177.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77126117) 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, 134787 + ... + 135357.

It is an arithmetic number, because the mean of its divisors is an integer number (1769768).

Almost surely, 2^77126112 is an apocalyptic number.

77126112 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 77126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127423296).

77126112 is an abundant number, since it is smaller than the sum of its proper divisors (177720480).

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

77126112 is a wasteful number, since it uses less digits than its factorization.

77126112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 77126112 is about 8782.1473456097. The cubic root of 77126112 is about 425.6642199623.

Adding to 77126112 its reverse (21162177), we get a palindrome (98288289).

It can be divided in two parts, 7712 and 6112, that added together give a cube (13824 = 24³).

The spelling of 77126112 in words is "seventy-seven million, one hundred twenty-six thousand, one hundred twelve".