76923648 has 144 divisors (see below), whose sum is σ = 235468800. Its totient is φ = 24744960.

The previous prime is 76923607. The next prime is 76923683. The reversal of 76923648 is 84632967.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214093 + ... + 214451.

It is an arithmetic number, because the mean of its divisors is an integer number (1635200).

Almost surely, 2^76923648 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 76923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117734400).

76923648 is an abundant number, since it is smaller than the sum of its proper divisors (158545152).

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

76923648 is a wasteful number, since it uses less digits than its factorization.

76923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 395 counting only the distinct ones).

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

The square root of 76923648 is about 8770.6127494035. The cubic root of 76923648 is about 425.2914227323.

The spelling of 76923648 in words is "seventy-six million, nine hundred twenty-three thousand, six hundred forty-eight".