76918440 has 192 divisors, whose sum is σ = 257385600. Its totient is φ = 18332160.

The previous prime is 76918427. The next prime is 76918451. The reversal of 76918440 is 4481967.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 2481225 + ... + 2481255.

It is an arithmetic number, because the mean of its divisors is an integer number (1340550).

Almost surely, 2^76918440 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 76918440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128692800).

76918440 is an abundant number, since it is smaller than the sum of its proper divisors (180467160).

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

76918440 is a wasteful number, since it uses less digits than its factorization.

76918440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 76918440 is about 8770.3158437995. The cubic root of 76918440 is about 425.2818246101.

The spelling of 76918440 in words is "seventy-six million, nine hundred eighteen thousand, four hundred forty".