76983144 has 64 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 21927360.

The previous prime is 76983143. The next prime is 76983149. The reversal of 76983144 is 44138967.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 76983096 and 76983105.

It is not an unprimeable number, because it can be changed into a prime (76983143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84049 + ... + 84959.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^76983144 is an apocalyptic number.

It is an amenable number.

76983144 is an abundant number, since it is smaller than the sum of its proper divisors (143647896).

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

76983144 is a wasteful number, since it uses less digits than its factorization.

76983144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1426 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 76983144 is about 8774.0038750846. The cubic root of 76983144 is about 425.4010405955.

The spelling of 76983144 in words is "seventy-six million, nine hundred eighty-three thousand, one hundred forty-four".