76513327800 has 384 divisors, whose sum is σ = 293039577600. Its totient is φ = 16082012160.

The previous prime is 76513327799. The next prime is 76513327817. The reversal of 76513327800 is 872331567.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15121671 + ... + 15126729.

It is an arithmetic number, because the mean of its divisors is an integer number (763123900).

Almost surely, 2^76513327800 is an apocalyptic number.

76513327800 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 76513327800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146519788800).

76513327800 is an abundant number, since it is smaller than the sum of its proper divisors (216526249800).

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

76513327800 is a wasteful number, since it uses less digits than its factorization.

76513327800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 76513327800 in words is "seventy-six billion, five hundred thirteen million, three hundred twenty-seven thousand, eight hundred".