77945976 has 80 divisors (see below), whose sum is σ = 224290440. Its totient is φ = 25272000.

The previous prime is 77945963. The next prime is 77945981. The reversal of 77945976 is 67954977.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22351 + ... + 25601.

Almost surely, 2^77945976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77945976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112145220).

77945976 is an abundant number, since it is smaller than the sum of its proper divisors (146344464).

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

77945976 is a wasteful number, since it uses less digits than its factorization.

77945976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3293 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The square root of 77945976 is about 8828.7018298275. The cubic root of 77945976 is about 427.1672017491.

Subtracting from 77945976 its reverse (67954977), we obtain a palindrome (9990999).

The spelling of 77945976 in words is "seventy-seven million, nine hundred forty-five thousand, nine hundred seventy-six".