75801636 has 48 divisors (see below), whose sum is σ = 197359680. Its totient is φ = 25159680.

The previous prime is 75801631. The next prime is 75801673. The reversal of 75801636 is 63610857.

75801636 = 410² + 411² + ... + 666².

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

It is a self number, because there is not a number n which added to its sum of digits gives 75801636.

It is not an unprimeable number, because it can be changed into a prime (75801631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26391 + ... + 29121.

It is an arithmetic number, because the mean of its divisors is an integer number (4111660).

Almost surely, 2^75801636 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 75801636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98679840).

75801636 is an abundant number, since it is smaller than the sum of its proper divisors (121558044).

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

75801636 is a wasteful number, since it uses less digits than its factorization.

75801636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75801636 is about 8706.4134981059. The cubic root of 75801636 is about 423.2135132542.

It can be divided in two parts, 7580 and 1636, that added together give a square (9216 = 96²).

The spelling of 75801636 in words is "seventy-five million, eight hundred one thousand, six hundred thirty-six".