76381968 has 80 divisors (see below), whose sum is σ = 214639040. Its totient is φ = 23265792.

The previous prime is 76381951. The next prime is 76381979. The reversal of 76381968 is 86918367.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 67455 + ... + 68577.

It is an arithmetic number, because the mean of its divisors is an integer number (2682988).

Almost surely, 2^76381968 is an apocalyptic number.

76381968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76381968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107319520).

76381968 is an abundant number, since it is smaller than the sum of its proper divisors (138257072).

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

76381968 is a wasteful number, since it uses less digits than its factorization.

76381968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 76381968 is about 8739.6777972646. The cubic root of 76381968 is about 424.2907996793.

The spelling of 76381968 in words is "seventy-six million, three hundred eighty-one thousand, nine hundred sixty-eight".