76811112 has 128 divisors (see below), whose sum is σ = 250617600. Its totient is φ = 21337344.

The previous prime is 76811107. The next prime is 76811131. The reversal of 76811112 is 21111867.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55258 + ... + 56630.

It is an arithmetic number, because the mean of its divisors is an integer number (1957950).

Almost surely, 2^76811112 is an apocalyptic number.

76811112 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 76811112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125308800).

76811112 is an abundant number, since it is smaller than the sum of its proper divisors (173806488).

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

76811112 is a wasteful number, since it uses less digits than its factorization.

76811112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1422 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 76811112 is about 8764.1948860121. The cubic root of 76811112 is about 425.0839271393.

Adding to 76811112 its reverse (21111867), we get a palindrome (97922979).

The spelling of 76811112 in words is "seventy-six million, eight hundred eleven thousand, one hundred twelve".