76874928800 has 144 divisors (see below), whose sum is σ = 189617863680. Its totient is φ = 30432245760.

The previous prime is 76874928773. The next prime is 76874928817. The reversal of 76874928800 is 882947867.

It is a self number, because there is not a number n which added to its sum of digits gives 76874928800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59638556 + ... + 59639844.

It is an arithmetic number, because the mean of its divisors is an integer number (1316790720).

Almost surely, 2^76874928800 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 76874928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94808931840).

76874928800 is an abundant number, since it is smaller than the sum of its proper divisors (112742934880).

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

76874928800 is a wasteful number, since it uses less digits than its factorization.

76874928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 76874928800 in words is "seventy-six billion, eight hundred seventy-four million, nine hundred twenty-eight thousand, eight hundred".