76855968 has 144 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 21593088.

The previous prime is 76855957. The next prime is 76855973. The reversal of 76855968 is 86955867.

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

Its product of digits (3628800) is a multiple of the sum of its prime divisors (648).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 134788 + ... + 135356.

It is an arithmetic number, because the mean of its divisors is an integer number (1763580).

Almost surely, 2^76855968 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 76855968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

76855968 is an abundant number, since it is smaller than the sum of its proper divisors (177099552).

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

76855968 is a wasteful number, since it uses less digits than its factorization.

76855968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 76855968 is about 8766.7535610396. The cubic root of 76855968 is about 425.1666575918.

The spelling of 76855968 in words is "seventy-six million, eight hundred fifty-five thousand, nine hundred sixty-eight".