76651344 has 240 divisors, whose sum is σ = 277315584. Its totient is φ = 19180800.

The previous prime is 76651343. The next prime is 76651349. The reversal of 76651344 is 44315667.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 76651299 and 76651308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76651343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343617 + ... + 343839.

Almost surely, 2^76651344 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 76651344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138657792).

76651344 is an abundant number, since it is smaller than the sum of its proper divisors (200664240).

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

76651344 is a wasteful number, since it uses less digits than its factorization.

76651344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 76651344 is about 8755.0753280597. The cubic root of 76651344 is about 424.7889960655.

It can be divided in two parts, 7665 and 1344, that added together give a palindrome (9009).

The spelling of 76651344 in words is "seventy-six million, six hundred fifty-one thousand, three hundred forty-four".