76780368 has 180 divisors, whose sum is σ = 260408928. Its totient is φ = 20684160.

The previous prime is 76780367. The next prime is 76780373. The reversal of 76780368 is 86308767.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76780367) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 363783 + ... + 363993.

Almost surely, 2^76780368 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 76780368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130204464).

76780368 is an abundant number, since it is smaller than the sum of its proper divisors (183628560).

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

76780368 is a wasteful number, since it uses less digits than its factorization.

76780368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76780368 is about 8762.4407558625. The cubic root of 76780368 is about 425.0272056402.

The spelling of 76780368 in words is "seventy-six million, seven hundred eighty thousand, three hundred sixty-eight".