76649328 has 300 divisors, whose sum is σ = 277093872. Its totient is φ = 20321280.

The previous prime is 76649323. The next prime is 76649341. The reversal of 76649328 is 82394667.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76649323) 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 59 ways as a sum of consecutive naturals, for example, 1079533 + ... + 1079603.

Almost surely, 2^76649328 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 76649328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138546936).

76649328 is an abundant number, since it is smaller than the sum of its proper divisors (200444544).

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

76649328 is a wasteful number, since it uses less digits than its factorization.

76649328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 76649328 is about 8754.9601940843. The cubic root of 76649328 is about 424.7852719207.

The spelling of 76649328 in words is "seventy-six million, six hundred forty-nine thousand, three hundred twenty-eight".