75916780 has 72 divisors (see below), whose sum is σ = 175719600. Its totient is φ = 27441792.

The previous prime is 75916777. The next prime is 75916783. The reversal of 75916780 is 8761957.

It is an interprime number because it is at equal distance from previous prime (75916777) and next prime (75916783).

It is not an unprimeable number, because it can be changed into a prime (75916783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914619 + ... + 914701.

It is an arithmetic number, because the mean of its divisors is an integer number (2440550).

Almost surely, 2^75916780 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 75916780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87859800).

75916780 is an abundant number, since it is smaller than the sum of its proper divisors (99802820).

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

75916780 is a wasteful number, since it uses less digits than its factorization.

75916780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 75916780 is about 8713.0235854151. The cubic root of 75916780 is about 423.4276943985.

The spelling of 75916780 in words is "seventy-five million, nine hundred sixteen thousand, seven hundred eighty".