75880378800 has 150 divisors (see below), whose sum is σ = 272328706628. Its totient is φ = 20234759040.

The previous prime is 75880378799. The next prime is 75880378807. The reversal of 75880378800 is 887308857.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (75880378807) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 1138594 + ... + 1203393.

Almost surely, 2^75880378800 is an apocalyptic number.

It is an amenable number.

75880378800 is an abundant number, since it is smaller than the sum of its proper divisors (196448327828).

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

75880378800 is a wasteful number, since it uses less digits than its factorization.

75880378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342017 (or 2341997 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 75880378800 in words is "seventy-five billion, eight hundred eighty million, three hundred seventy-eight thousand, eight hundred".