771638112 has 144 divisors (see below), whose sum is σ = 2588931072. Its totient is φ = 213338880.

The previous prime is 771638111. The next prime is 771638117. The reversal of 771638112 is 211836177.

771638112 is a `hidden beast` number, since 7 + 7 + 1 + 638 + 1 + 12 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (771638111) 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, 56323 + ... + 68669.

It is an arithmetic number, because the mean of its divisors is an integer number (17978688).

Almost surely, 2^771638112 is an apocalyptic number.

771638112 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 771638112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294465536).

771638112 is an abundant number, since it is smaller than the sum of its proper divisors (1817292960).

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

771638112 is a wasteful number, since it uses less digits than its factorization.

771638112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12401 (or 12390 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 771638112 is about 27778.3748984709. The cubic root of 771638112 is about 917.2151578620.

The spelling of 771638112 in words is "seven hundred seventy-one million, six hundred thirty-eight thousand, one hundred twelve".