76005133520800 has 144 divisors (see below), whose sum is σ = 202443628840992. Its totient is φ = 27634388198400.

The previous prime is 76005133520699. The next prime is 76005133520839. The reversal of 76005133520800 is 802533150067.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63088879 + ... + 64282321.

It is an arithmetic number, because the mean of its divisors is an integer number (1405858533618).

Almost surely, 2^{76005133520800} 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 76005133520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101221814420496).

76005133520800 is an abundant number, since it is smaller than the sum of its proper divisors (126438495320192).

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

76005133520800 is a wasteful number, since it uses less digits than its factorization.

76005133520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200711 (or 1200698 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

Adding to 76005133520800 its reverse (802533150067), we get a palindrome (76807666670867).

The spelling of 76005133520800 in words is "seventy-six trillion, five billion, one hundred thirty-three million, five hundred twenty thousand, eight hundred".