75813780 has 144 divisors (see below), whose sum is σ = 250278336. Its totient is φ = 17095680.

The previous prime is 75813779. The next prime is 75813791. The reversal of 75813780 is 8731857.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314460 + ... + 314700.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 2^75813780 is an apocalyptic number.

75813780 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 75813780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125139168).

75813780 is an abundant number, since it is smaller than the sum of its proper divisors (174464556).

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

75813780 is a wasteful number, since it uses less digits than its factorization.

75813780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 75813780 is about 8707.1108870853. The cubic root of 75813780 is about 423.2361127246.

The spelling of 75813780 in words is "seventy-five million, eight hundred thirteen thousand, seven hundred eighty".