76781376 has 168 divisors, whose sum is σ = 255178560. Its totient is φ = 21620736.

The previous prime is 76781351. The next prime is 76781399. The reversal of 76781376 is 67318767.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

Its product of digits (296352) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

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, 552315 + ... + 552453.

It is an arithmetic number, because the mean of its divisors is an integer number (1518920).

Almost surely, 2^76781376 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 76781376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127589280).

76781376 is an abundant number, since it is smaller than the sum of its proper divisors (178397184).

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

76781376 is a wasteful number, since it uses less digits than its factorization.

76781376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 76781376 is about 8762.4982738943. The cubic root of 76781376 is about 425.0290656016.

The spelling of 76781376 in words is "seventy-six million, seven hundred eighty-one thousand, three hundred seventy-six".