76768183800 has 864 divisors, whose sum is σ = 331679187840. Its totient is φ = 15567552000.

The previous prime is 76768183781. The next prime is 76768183841. The reversal of 76768183800 is 838186767.

It is a super-3 number, since 3×76768183800³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 65557215 + ... + 65558385.

Almost surely, 2^76768183800 is an apocalyptic number.

76768183800 is a gapful number since it is divisible by the number (70) 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 76768183800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165839593920).

76768183800 is an abundant number, since it is smaller than the sum of its proper divisors (254911004040).

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

76768183800 is a wasteful number, since it uses less digits than its factorization.

76768183800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 76768183800 in words is "seventy-six billion, seven hundred sixty-eight million, one hundred eighty-three thousand, eight hundred".