77693112 has 48 divisors (see below), whose sum is σ = 240480240. Its totient is φ = 22197888.

The previous prime is 77693107. The next prime is 77693113. The reversal of 77693112 is 21139677.

It is a happy number.

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 (77693113) 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, 76573 + ... + 77580.

It is an arithmetic number, because the mean of its divisors is an integer number (5010005).

Almost surely, 2^77693112 is an apocalyptic number.

77693112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77693112 is an abundant number, since it is smaller than the sum of its proper divisors (162787128).

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

77693112 is a wasteful number, since it uses less digits than its factorization.

77693112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154172 (or 154165 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 77693112 is about 8814.3696314598. The cubic root of 77693112 is about 426.7047779542.

The spelling of 77693112 in words is "seventy-seven million, six hundred ninety-three thousand, one hundred twelve".