75876313800 has 576 divisors, whose sum is σ = 295134235200. Its totient is φ = 16024780800.

The previous prime is 75876313729. The next prime is 75876313831. The reversal of 75876313800 is 831367857.

It is a self number, because there is not a number n which added to its sum of digits gives 75876313800.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22900944 + ... + 22904256.

It is an arithmetic number, because the mean of its divisors is an integer number (512385825).

Almost surely, 2^75876313800 is an apocalyptic number.

75876313800 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 75876313800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147567117600).

75876313800 is an abundant number, since it is smaller than the sum of its proper divisors (219257921400).

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

75876313800 is a wasteful number, since it uses less digits than its factorization.

75876313800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 75876313800 in words is "seventy-five billion, eight hundred seventy-six million, three hundred thirteen thousand, eight hundred".