75865680 has 320 divisors, whose sum is σ = 297123840. Its totient is φ = 17625600.

The previous prime is 75865619. The next prime is 75865687. The reversal of 75865680 is 8656857.

75865680 is a `hidden beast` number, since 7 + 5 + 86 + 568 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75865687) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 736509 + ... + 736611.

It is an arithmetic number, because the mean of its divisors is an integer number (928512).

Almost surely, 2^75865680 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 75865680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

75865680 is an abundant number, since it is smaller than the sum of its proper divisors (221258160).

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

75865680 is a wasteful number, since it uses less digits than its factorization.

75865680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 75865680 is about 8710.0906998722. The cubic root of 75865680 is about 423.3326692421.

The spelling of 75865680 in words is "seventy-five million, eight hundred sixty-five thousand, six hundred eighty".