75828013920 has 384 divisors, whose sum is σ = 270781056000. Its totient is φ = 20062453248.

The previous prime is 75828013909. The next prime is 75828013939. The reversal of 75828013920 is 2931082857.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 48638101 + ... + 48639659.

It is an arithmetic number, because the mean of its divisors is an integer number (705159000).

Almost surely, 2^75828013920 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 75828013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135390528000).

75828013920 is an abundant number, since it is smaller than the sum of its proper divisors (194953042080).

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

75828013920 is a wasteful number, since it uses less digits than its factorization.

75828013920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 75828013920 in words is "seventy-five billion, eight hundred twenty-eight million, thirteen thousand, nine hundred twenty".