75780864 has 108 divisors (see below), whose sum is σ = 225755712. Its totient is φ = 24422400.

The previous prime is 75780841. The next prime is 75780869. The reversal of 75780864 is 46808757.

It is not an unprimeable number, because it can be changed into a prime (75780869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70894 + ... + 71954.

Almost surely, 2^75780864 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 75780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112877856).

75780864 is an abundant number, since it is smaller than the sum of its proper divisors (149974848).

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

75780864 is a wasteful number, since it uses less digits than its factorization.

75780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 75780864 is about 8705.2205026639. The cubic root of 75780864 is about 423.1748518450.

The spelling of 75780864 in words is "seventy-five million, seven hundred eighty thousand, eight hundred sixty-four".