77982912 has 210 divisors, whose sum is σ = 269783052. Its totient is φ = 22208256.

The previous prime is 77982911. The next prime is 77982913. The reversal of 77982912 is 21928977.

It is an interprime number because it is at equal distance from previous prime (77982911) and next prime (77982913).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (77982911) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253863 + ... + 254169.

Almost surely, 2^77982912 is an apocalyptic number.

77982912 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 77982912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134891526).

77982912 is an abundant number, since it is smaller than the sum of its proper divisors (191800140).

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

77982912 is a wasteful number, since it uses less digits than its factorization.

77982912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 319 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 77982912 is about 8830.7933958394. The cubic root of 77982912 is about 427.2346645271.

The spelling of 77982912 in words is "seventy-seven million, nine hundred eighty-two thousand, nine hundred twelve".