76381380 has 60 divisors (see below), whose sum is σ = 239616300. Its totient is φ = 20367936.

The previous prime is 76381379. The next prime is 76381381. The reversal of 76381380 is 8318367.

76381380 is a `hidden beast` number, since 7 + 638 + 13 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76381379) and next prime (76381381).

It can be written as a sum of positive squares in 2 ways, for example, as 8714304 + 67667076 = 2952^2 + 8226^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76381381) 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 19 ways as a sum of consecutive naturals, for example, 21955 + ... + 25194.

It is an arithmetic number, because the mean of its divisors is an integer number (3993605).

Almost surely, 2^76381380 is an apocalyptic number.

It is an amenable number.

76381380 is an abundant number, since it is smaller than the sum of its proper divisors (163234920).

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

76381380 is a wasteful number, since it uses less digits than its factorization.

76381380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47170 (or 47159 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 76381380 is about 8739.6441575158. The cubic root of 76381380 is about 424.2897109248.

The spelling of 76381380 in words is "seventy-six million, three hundred eighty-one thousand, three hundred eighty".