75811680 has 384 divisors, whose sum is σ = 319334400. Its totient is φ = 16422912.

The previous prime is 75811679. The next prime is 75811693. The reversal of 75811680 is 8611857.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695466 + ... + 695574.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^75811680 is an apocalyptic number.

75811680 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 75811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

75811680 is an abundant number, since it is smaller than the sum of its proper divisors (243522720).

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

75811680 is a wasteful number, since it uses less digits than its factorization.

75811680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 75811680 is about 8706.9902951594. The cubic root of 75811680 is about 423.2322048860.

It can be divided in two parts, 7581 and 1680, that added together give a cube (9261 = 21³).

The spelling of 75811680 in words is "seventy-five million, eight hundred eleven thousand, six hundred eighty".