75803680 has 144 divisors (see below), whose sum is σ = 202691160. Its totient is φ = 26664960.

The previous prime is 75803669. The next prime is 75803683. The reversal of 75803680 is 8630857.

It can be written as a sum of positive squares in 4 ways, for example, as 69022864 + 6780816 = 8308^2 + 2604^2 .

It is not an unprimeable number, because it can be changed into a prime (75803683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2445265 + ... + 2445295.

Almost surely, 2^75803680 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 75803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101345580).

75803680 is an abundant number, since it is smaller than the sum of its proper divisors (126887480).

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

75803680 is a wasteful number, since it uses less digits than its factorization.

75803680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 75803680 is about 8706.5308820448. The cubic root of 75803680 is about 423.2173172207.

The spelling of 75803680 in words is "seventy-five million, eight hundred three thousand, six hundred eighty".